Учебная работа № 1634. Сумма делителей числа

1 Звезда2 Звезды3 Звезды4 Звезды5 Звезд (6 оценок, среднее: 4,67 из 5)
Загрузка...
Контрольные рефераты

Учебная работа № 1634. Сумма делителей числа

.

Для начало приведём экспериментальный материал (который был получен с помощью программы Derive (по формуле 1.(см.ниже)): для нахождения делителей числа «a», программа делила число «a» на другие числа не превосходящие само число и если остаток от деления был равен 0, то число записывалось как делитель «a». ):

Ниже приведены все делители чисел от 1 до 1000:

[1, [1]]

[2, [1, 2]]

[3, [1, 3]]

[4, [1, 2, 4]]

[5, [1, 5]]

[6, [1, 2, 3, 6]]

[7, [1, 7]]

[8, [1, 2, 4, 8]]

[9, [1, 3, 9]]

[10, [1, 2, 5, 10]]

[11, [1, 11]]

[12, [1, 2, 3, 4, 6, 12]]

[13, [1, 13]]

[14, [1, 2, 7, 14]]

[15, [1, 3, 5, 15]]

[16, [1, 2, 4, 8, 16]]

[17, [1, 17]]

[18, [1, 2, 3, 6, 9, 18]]

[19, [1, 19]]

[20, [1, 2, 4, 5, 10, 20]]

[21, [1, 3, 7, 21]]

[22, [1, 2, 11, 22]]

[23, [1, 23]]

[24, [1, 2, 3, 4, 6, 8, 12, 24]]

[25, [1, 5, 25]]

[26, [1, 2, 13, 26]]

[27, [1, 3, 9, 27]]

[28, [1, 2, 4, 7, 14, 28]]

[29, [1, 29]]

[30, [1, 2, 3, 5, 6, 10, 15, 30]]

[31, [1, 31]]

[32, [1, 2, 4, 8, 16, 32]]

[33, [1, 3, 11, 33]]

[34, [1, 2, 17, 34]]

[35, [1, 5, 7, 35]]

[36, [1, 2, 3, 4, 6, 9, 12, 18, 36]]

[37, [1, 37]]

[38, [1, 2, 19, 38]]

[39, [1, 3, 13, 39]]

[40, [1, 2, 4, 5, 8, 10, 20, 40]]

[41, [1, 41]]

[42, [1, 2, 3, 6, 7, 14, 21, 42]]

[43, [1, 43]]

[44, [1, 2, 4, 11, 22, 44]]

[45, [1, 3, 5, 9, 15, 45]]

[46, [1, 2, 23, 46]]

[47, [1, 47]]

[48, [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]]

[49, [1, 7, 49]]

[50, [1, 2, 5, 10, 25, 50]]

[51, [1, 3, 17, 51]]

[52, [1, 2, 4, 13, 26, 52]]

[53, [1, 53]]

[54, [1, 2, 3, 6, 9, 18, 27, 54]]

[55, [1, 5, 11, 55]]

[56, [1, 2, 4, 7, 8, 14, 28, 56]]

[57, [1, 3, 19, 57]]

[58, [1, 2, 29, 58]]

[59, [1, 59]]

[60, [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]]

[61, [1, 61]]

[62, [1, 2, 31, 62]]

[63, [1, 3, 7, 9, 21, 63]]

[64, [1, 2, 4, 8, 16, 32, 64]]

[65, [1, 5, 13, 65]]

[66, [1, 2, 3, 6, 11, 22, 33, 66]]

[67, [1, 67]]

[68, [1, 2, 4, 17, 34, 68]]

[69, [1, 3, 23, 69]]

[70, [1, 2, 5, 7, 10, 14, 35, 70]]

[71, [1, 71]]

[72, [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]]

[73, [1, 73]]

[74, [1, 2, 37, 74]]

[75, [1, 3, 5, 15, 25, 75]]

[76, [1, 2, 4, 19, 38, 76]]

[77, [1, 7, 11, 77]]

[78, [1, 2, 3, 6, 13, 26, 39, 78]]

[79, [1, 79]]

[80, [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]]

[81, [1, 3, 9, 27, 81]]

[82, [1, 2, 41, 82]]

[83, [1, 83]]

[84, [1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84]]

[85, [1, 5, 17, 85]]

[86, [1, 2, 43, 86]]

[87, [1, 3, 29, 87]]

[88, [1, 2, 4, 8, 11, 22, 44, 88]]

[89, [1, 89]]

[90, [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]]

[91, [1, 7, 13, 91]]

[92, [1, 2, 4, 23, 46, 92]]

[93, [1, 3, 31, 93]]

[94, [1, 2, 47, 94]]

[95, [1, 5, 19, 95]]

[96, [1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96]]

[97, [1, 97]]

[98, [1, 2, 7, 14, 49, 98]]

[99, [1, 3, 9, 11, 33, 99]]

[100, [1, 2, 4, 5, 10, 20, 25, 50, 100]]

[101, [1, 101]]

[102, [1, 2, 3, 6, 17, 34, 51, 102]]

[103, [1, 103]]

[104, [1, 2, 4, 8, 13, 26, 52, 104]]

[105, [1, 3, 5, 7, 15, 21, 35, 105]]

[106, [1, 2, 53, 106]]

[107, [1, 107]]

[108, [1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108]]

[109, [1, 109]]

[110, [1, 2, 5, 10, 11, 22, 55, 110]]

[111, [1, 3, 37, 111]]

[112, [1, 2, 4, 7, 8, 14, 16, 28, 56, 112]]

[113, [1, 113]]

[114, [1, 2, 3, 6, 19, 38, 57, 114]]

[115, [1, 5, 23, 115]]

[116, [1, 2, 4, 29, 58, 116]]

[117, [1, 3, 9, 13, 39, 117]]

[118, [1, 2, 59, 118]]

[119, [1, 7, 17, 119]]

[120, [1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120]]

[121, [1, 11, 121]]

[122, [1, 2, 61, 122]]

[123, [1, 3, 41, 123]]

[124, [1, 2, 4, 31, 62, 124]]

[125, [1, 5, 25, 125]]

[126, [1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126]]

[127, [1, 127]]

[128, [1, 2, 4, 8, 16, 32, 64, 128]]

[129, [1, 3, 43, 129]]

[130, [1, 2, 5, 10, 13, 26, 65, 130]]

[131, [1, 131]]

[132, [1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132]]

[133, [1, 7, 19, 133]]

[134, [1, 2, 67, 134]]

[135, [1, 3, 5, 9, 15, 27, 45, 135]]

[136, [1, 2, 4, 8, 17, 34, 68, 136]]

[137, [1, 137]]

[138, [1, 2, 3, 6, 23, 46, 69, 138]]

[139, [1, 139]]

[140, [1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140]]

[141, [1, 3, 47, 141]]

[142, [1, 2, 71, 142]]

[143, [1, 11, 13, 143]]

[144, [1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144]]

[145, [1, 5, 29, 145]]

[146, [1, 2, 73, 146]]

[147, [1, 3, 7, 21, 49, 147]]

[148, [1, 2, 4, 37, 74, 148]]

[149, [1, 149]]

[150, [1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150]]

[151, [1, 151]]

[152, [1, 2, 4, 8, 19, 38, 76, 152]]

[153, [1, 3, 9, 17, 51, 153]]

[154, [1, 2, 7, 11, 14, 22, 77, 154]]

[155, [1, 5, 31, 155]]

[156, [1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156]]

[157, [1, 157]]

[158, [1, 2, 79, 158]]

[159, [1, 3, 53, 159]]

[160, [1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160]]

[161, [1, 7, 23, 161]]

[162, [1, 2, 3, 6, 9, 18, 27, 54, 81, 162]]

[163, [1, 163]]

[164, [1, 2, 4, 41, 82, 164]]

[165, [1, 3, 5, 11, 15, 33, 55, 165]]

[166, [1, 2, 83, 166]]

[167, [1, 167]]

[168, [1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168]]

[169, [1, 13, 169]]

[170, [1, 2, 5, 10, 17, 34, 85, 170]]

[171, [1, 3, 9, 19, 57, 171]]

[172, [1, 2, 4, 43, 86, 172]]

[173, [1, 173]]

[174, [1, 2, 3, 6, 29, 58, 87, 174]]

[175, [1, 5, 7, 25, 35, 175]]

[176, [1, 2, 4, 8, 11, 16, 22, 44, 88, 176]]

[177, [1, 3, 59, 177]]

[178, [1, 2, 89, 178]]

[179, [1, 179]]

[180, [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180]]

[181, [1, 181]]

[182, [1, 2, 7, 13, 14, 26, 91, 182]]

[183, [1, 3, 61, 183]]

[184, [1, 2, 4, 8, 23, 46, 92, 184]]

[185, [1, 5, 37, 185]]

[186, [1, 2, 3, 6, 31, 62, 93, 186]]

[187, [1, 11, 17, 187]]

[188, [1, 2, 4, 47, 94, 188]]

[189, [1, 3, 7, 9, 21, 27, 63, 189]]

[190, [1, 2, 5, 10, 19, 38, 95, 190]]

[191, [1, 191]]

[192, [1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192]]

[193, [1, 193]]

[194, [1, 2, 97, 194]]

[195, [1, 3, 5, 13, 15, 39, 65, 195]]

[196, [1, 2, 4, 7, 14, 28, 49, 98, 196]]

[197, [1, 197]]

[198, [1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198]]

[199, [1, 199]]

[200, [1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200]]

[201, [1, 3, 67, 201]]

[202, [1, 2, 101, 202]]

[203, [1, 7, 29, 203]]

[204, [1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204]]

[205, [1, 5, 41, 205]]

[206, [1, 2, 103, 206]]

[207, [1, 3, 9, 23, 69, 207]]

[208, [1, 2, 4, 8, 13, 16, 26, 52, 104, 208]]

[209, [1, 11, 19, 209]]

[210, [1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210]]

[211, [1, 211]]

[212, [1, 2, 4, 53, 106, 212]]

[213, [1, 3, 71, 213]]

[214, [1, 2, 107, 214]]

[215, [1, 5, 43, 215]]

[216, [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216]]

[217, [1, 7, 31, 217]]

[218, [1, 2, 109, 218]]

[219, [1, 3, 73, 219]]

[220, [1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220]]

[221, [1, 13, 17, 221]]

[222, [1, 2, 3, 6, 37, 74, 111, 222]]

[223, [1, 223]]

[224, [1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224]]

[225, [1, 3, 5, 9, 15, 25, 45, 75, 225]]

[226, [1, 2, 113, 226]]

[227, [1, 227]]

[228, [1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228]]

[229, [1, 229]]

[230, [1, 2, 5, 10, 23, 46, 115, 230]]

[231, [1, 3, 7, 11, 21, 33, 77, 231]]

[232, [1, 2, 4, 8, 29, 58, 116, 232]]

[233, [1, 233]]

[234, [1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234]]

[235, [1, 5, 47, 235]]

[236, [1, 2, 4, 59, 118, 236]]

[237, [1, 3, 79, 237]]

[238, [1, 2, 7, 14, 17, 34, 119, 238]]

[239, [1, 239]]

[240, [1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240]]

[241, [1, 241]]

[242, [1, 2, 11, 22, 121, 242]]

[243, [1, 3, 9, 27, 81, 243]]

[244, [1, 2, 4, 61, 122, 244]]

[245, [1, 5, 7, 35, 49, 245]]

[246, [1, 2, 3, 6, 41, 82, 123, 246]]

[247, [1, 13, 19, 247]]

[248, [1, 2, 4, 8, 31, 62, 124, 248]]

[249, [1, 3, 83, 249]]

[250, [1, 2, 5, 10, 25, 50, 125, 250]]

[251, [1, 251]]

[252, [1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252]]

[253, [1, 11, 23, 253]]

[254, [1, 2, 127, 254]]

[255, [1, 3, 5, 15, 17, 51, 85, 255]]

[256, [1, 2, 4, 8, 16, 32, 64, 128, 256]]

[257, [1, 257]]

[258, [1, 2, 3, 6, 43, 86, 129, 258]]

[259, [1, 7, 37, 259]]

[260, [1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260]]

[261, [1, 3, 9, 29, 87, 261]]

[262, [1, 2, 131, 262]]

[263, [1, 263]]

[264, [1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264]]

[265, [1, 5, 53, 265]]

[266, [1, 2, 7, 14, 19, 38, 133, 266]]

[267, [1, 3, 89, 267]]

[268, [1, 2, 4, 67, 134, 268]]

[269, [1, 269]]

[270, [1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270]]

[271, [1, 271]]

[272, [1, 2, 4, 8, 16, 17, 34, 68, 136, 272]]

[273, [1, 3, 7, 13, 21, 39, 91, 273]]

[274, [1, 2, 137, 274]]

[275, [1, 5, 11, 25, 55, 275]]

[276, [1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276]]

[277, [1, 277]]

[278, [1, 2, 139, 278]]

[279, [1, 3, 9, 31, 93, 279]]

[280, [1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280]]

[281, [1, 281]]

[282, [1, 2, 3, 6, 47, 94, 141, 282]]

[283, [1, 283]]

[284, [1, 2, 4, 71, 142, 284]]

[285, [1, 3, 5, 15, 19, 57, 95, 285]]

[286, [1, 2, 11, 13, 22, 26, 143, 286]]

[287, [1, 7, 41, 287]]

[288, [1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288]]

[289, [1, 17, 289]]

[290, [1, 2, 5, 10, 29, 58, 145, 290]]

[291, [1, 3, 97, 291]]

[292, [1, 2, 4, 73, 146, 292]]

[293, [1, 293]]

[294, [1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294]]

[295, [1, 5, 59, 295]]

[296, [1, 2, 4, 8, 37, 74, 148, 296]]

[297, [1, 3, 9, 11, 27, 33, 99, 297]]

[298, [1, 2, 149, 298]]

[299, [1, 13, 23, 299]]

[300, [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300]]

[301, [1, 7, 43, 301]]

[302, [1, 2, 151, 302]]

[303, [1, 3, 101, 303]]

[304, [1, 2, 4, 8, 16, 19, 38, 76, 152, 304]]

[305, [1, 5, 61, 305]]

[306, [1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306]]

[307, [1, 307]]

[308, [1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308]]

[309, [1, 3, 103, 309]]

[310, [1, 2, 5, 10, 31, 62, 155, 310]]

[311, [1, 311]]

[312, [1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312]]

[313, [1, 313]]

[314, [1, 2, 157, 314]]

[315, [1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315]]

[316, [1, 2, 4, 79, 158, 316]]

[317, [1, 317]]

[318, [1, 2, 3, 6, 53, 106, 159, 318]]

[319, [1, 11, 29, 319]]

[320, [1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320]]

[321, [1, 3, 107, 321]]

[322, [1, 2, 7, 14, 23, 46, 161, 322]]

[323, [1, 17, 19, 323]]

[324, [1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324]]

[325, [1, 5, 13, 25, 65, 325]]

[326, [1, 2, 163, 326]]

[327, [1, 3, 109, 327]]

[328, [1, 2, 4, 8, 41, 82, 164, 328]]

[329, [1, 7, 47, 329]]

[330, [1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330]]

[331, [1, 331]]

[332, [1, 2, 4, 83, 166, 332]]

[333, [1, 3, 9, 37, 111, 333]]

[334, [1, 2, 167, 334]]

[335, [1, 5, 67, 335]]

[336, [1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336]]

[337, [1, 337]]

[338, [1, 2, 13, 26, 169, 338]]

[339, [1, 3, 113, 339]]

[340, [1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340]]

[341, [1, 11, 31, 341]]

[342, [1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342]]

[343, [1, 7, 49, 343]]

[344, [1, 2, 4, 8, 43, 86, 172, 344]]

[345, [1, 3, 5, 15, 23, 69, 115, 345]]

[346, [1, 2, 173, 346]]

[347, [1, 347]]

[348, [1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348]]

[349, [1, 349]]

[350, [1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350]]

[351, [1, 3, 9, 13, 27, 39, 117, 351]]

[352, [1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352]]

[353, [1, 353]]

[354, [1, 2, 3, 6, 59, 118, 177, 354]]

[355, [1, 5, 71, 355]]

[356, [1, 2, 4, 89, 178, 356]]

[357, [1, 3, 7, 17, 21, 51, 119, 357]]

[358, [1, 2, 179, 358]]

[359, [1, 359]]

[360, [1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360]]

[361, [1, 19, 361]]

[362, [1, 2, 181, 362]]

[363, [1, 3, 11, 33, 121, 363]]

[364, [1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364]]

[365, [1, 5, 73, 365]]

[366, [1, 2, 3, 6, 61, 122, 183, 366]]

[367, [1, 367]]

[368, [1, 2, 4, 8, 16, 23, 46, 92, 184, 368]]

[369, [1, 3, 9, 41, 123, 369]]

[370, [1, 2, 5, 10, 37, 74, 185, 370]]

[371, [1, 7, 53, 371]]

[372, [1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372]]

[373, [1, 373]]

[374, [1, 2, 11, 17, 22, 34, 187, 374]]

[375, [1, 3, 5, 15, 25, 75, 125, 375]]

[376, [1, 2, 4, 8, 47, 94, 188, 376]]

[377, [1, 13, 29, 377]]

[378, [1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378]]

[379, [1, 379]]

[380, [1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380]]

[381, [1, 3, 127, 381]]

[382, [1, 2, 191, 382]]

[383, [1, 383]]

[384, [1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384]]

[385, [1, 5, 7, 11, 35, 55, 77, 385]]

[386, [1, 2, 193, 386]]

[387, [1, 3, 9, 43, 129, 387]]

[388, [1, 2, 4, 97, 194, 388]]

[389, [1, 389]]

[390, [1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390]]

[391, [1, 17, 23, 391]]

[392, [1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392]]

[393, [1, 3, 131, 393]]

[394, [1, 2, 197, 394]]

[395, [1, 5, 79, 395]]

[396, [1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396]]

[397, [1, 397]]

[398, [1, 2, 199, 398]]

[399, [1, 3, 7, 19, 21, 57, 133, 399]]

[400, [1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400]]

[401, [1, 401]]

[402, [1, 2, 3, 6, 67, 134, 201, 402]]

[403, [1, 13, 31, 403]]

[404, [1, 2, 4, 101, 202, 404]]

[405, [1, 3, 5, 9, 15, 27, 45, 81, 135, 405]]

[406, [1, 2, 7, 14, 29, 58, 203, 406]]

[407, [1, 11, 37, 407]]

[408, [1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408]]

[409, [1, 409]]

[410, [1, 2, 5, 10, 41, 82, 205, 410]]

[411, [1, 3, 137, 411]]

[412, [1, 2, 4, 103, 206, 412]]

[413, [1, 7, 59, 413]]

[414, [1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414]]

[415, [1, 5, 83, 415]]

[416, [1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416]]

[417, [1, 3, 139, 417]]

[418, [1, 2, 11, 19, 22, 38, 209, 418]]

[419, [1, 419]]

[420, [1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420]]

[421, [1, 421]]

[422, [1, 2, 211, 422]]

[423, [1, 3, 9, 47, 141, 423]]

[424, [1, 2, 4, 8, 53, 106, 212, 424]]

[425, [1, 5, 17, 25, 85, 425]]

[426, [1, 2, 3, 6, 71, 142, 213, 426]]

[427, [1, 7, 61, 427]]

[428, [1, 2, 4, 107, 214, 428]]

[429, [1, 3, 11, 13, 33, 39, 143, 429]]

[430, [1, 2, 5, 10, 43, 86, 215, 430]]

[431, [1, 431]]

[432, [1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432]]

[433, [1, 433]]

[434, [1, 2, 7, 14, 31, 62, 217, 434]]

[435, [1, 3, 5, 15, 29, 87, 145, 435]]

[436, [1, 2, 4, 109, 218, 436]]

[437, [1, 19, 23, 437]]

[438, [1, 2, 3, 6, 73, 146, 219, 438]]

[439, [1, 439]]

[440, [1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440]]

[441, [1, 3, 7, 9, 21, 49, 63, 147, 441]]

[442, [1, 2, 13, 17, 26, 34, 221, 442]]

[443, [1, 443]]

[444, [1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444]]

[445, [1, 5, 89, 445]]

[446, [1, 2, 223, 446]]

[447, [1, 3, 149, 447]]

[448, [1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448]]

[449, [1, 449]]

[450, [1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450]]

[451, [1, 11, 41, 451]]

[452, [1, 2, 4, 113, 226, 452]]

[453, [1, 3, 151, 453]]

[454, [1, 2, 227, 454]]

[455, [1, 5, 7, 13, 35, 65, 91, 455]]

[456, [1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456]]

[457, [1, 457]]

[458, [1, 2, 229, 458]]

[459, [1, 3, 9, 17, 27, 51, 153, 459]]

[460, [1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460]]

[461, [1, 461]]

[462, [1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462]]

[463, [1, 463]]

[464, [1, 2, 4, 8, 16, 29, 58, 116, 232, 464]]

[465, [1, 3, 5, 15, 31, 93, 155, 465]]

[466, [1, 2, 233, 466]]

[467, [1, 467]]

[468, [1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468]]

[469, [1, 7, 67, 469]]

[470, [1, 2, 5, 10, 47, 94, 235, 470]]

[471, [1, 3, 157, 471]]

[472, [1, 2, 4, 8, 59, 118, 236, 472]]

[473, [1, 11, 43, 473]]

[474, [1, 2, 3, 6, 79, 158, 237, 474]]

[475, [1, 5, 19, 25, 95, 475]]

[476, [1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476]]

[477, [1, 3, 9, 53, 159, 477]]

[478, [1, 2, 239, 478]]

[479, [1, 479]]

[480, [1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480]]

[481, [1, 13, 37, 481]]

[482, [1, 2, 241, 482]]

[483, [1, 3, 7, 21, 23, 69, 161, 483]]

[484, [1, 2, 4, 11, 22, 44, 121, 242, 484]]

[485, [1, 5, 97, 485]]

[486, [1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486]]

[487, [1, 487]]

[488, [1, 2, 4, 8, 61, 122, 244, 488]]

[489, [1, 3, 163, 489]]

[490, [1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490]]

[491, [1, 491]]

[492, [1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492]]

[493, [1, 17, 29, 493]]

[494, [1, 2, 13, 19, 26, 38, 247, 494]]

[495, [1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495]]

[496, [1, 2, 4, 8, 16, 31, 62, 124, 248, 496]]

[497, [1, 7, 71, 497]]

[498, [1, 2, 3, 6, 83, 166, 249, 498]]

[499, [1, 499]]

[500, [1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500]]

[501, [1, 3, 167, 501]]

[502, [1, 2, 251, 502]]

[503, [1, 503]]

[504, [1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504]]

[505, [1, 5, 101, 505]]

[506, [1, 2, 11, 22, 23, 46, 253, 506]]

[507, [1, 3, 13, 39, 169, 507]]

[508, [1, 2, 4, 127, 254, 508]]

[509, [1, 509]]

[510, [1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510]]

[511, [1, 7, 73, 511]]

[512, [1, 2, 4, 8, 16, 32, 64, 128, 256, 512]]

[513, [1, 3, 9, 19, 27, 57, 171, 513]]

[514, [1, 2, 257, 514]]

[515, [1, 5, 103, 515]]

[516, [1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516]]

[517, [1, 11, 47, 517]]

[518, [1, 2, 7, 14, 37, 74, 259, 518]]

[519, [1, 3, 173, 519]]

[520, [1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520]]

[521, [1, 521]]

[522, [1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522]]

[523, [1, 523]]

[524, [1, 2, 4, 131, 262, 524]]

[525, [1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525]]

[526, [1, 2, 263, 526]]

[527, [1, 17, 31, 527]]

[528, [1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528]]

[529, [1, 23, 529]]

[530, [1, 2, 5, 10, 53, 106, 265, 530]]

[531, [1, 3, 9, 59, 177, 531]]

[532, [1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532]]

[533, [1, 13, 41, 533]]

[534, [1, 2, 3, 6, 89, 178, 267, 534]]

[535, [1, 5, 107, 535]]

[536, [1, 2, 4, 8, 67, 134, 268, 536]]

[537, [1, 3, 179, 537]]

[538, [1, 2, 269, 538]]

[539, [1, 7, 11, 49, 77, 539]]

[540, [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540]]

[541, [1, 541]]

[542, [1, 2, 271, 542]]

[543, [1, 3, 181, 543]]

[544, [1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544]]

[545, [1, 5, 109, 545]]

[546, [1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546]]

[547, [1, 547]]

[548, [1, 2, 4, 137, 274, 548]]

[549, [1, 3, 9, 61, 183, 549]]

[550, [1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550]]

[551, [1, 19, 29, 551]]

[552, [1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552]]

[553, [1, 7, 79, 553]]

[554, [1, 2, 277, 554]]

[555, [1, 3, 5, 15, 37, 111, 185, 555]]

[556, [1, 2, 4, 139, 278, 556]]

[557, [1, 557]]

[558, [1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558]]

[559, [1, 13, 43, 559]]

[560, [1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560]]

[561, [1, 3, 11, 17, 33, 51, 187, 561]]

[562, [1, 2, 281, 562]]

[563, [1, 563]]

[564, [1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564]]

[565, [1, 5, 113, 565]]

[566, [1, 2, 283, 566]]

[567, [1, 3, 7, 9, 21, 27, 63, 81, 189, 567]]

[568, [1, 2, 4, 8, 71, 142, 284, 568]]

[569, [1, 569]]

[570, [1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570]]

[571, [1, 571]]

[572, [1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572]]

[573, [1, 3, 191, 573]]

[574, [1, 2, 7, 14, 41, 82, 287, 574]]

[575, [1, 5, 23, 25, 115, 575]]

[576, [1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576]]

[577, [1, 577]]

[578, [1, 2, 17, 34, 289, 578]]

[579, [1, 3, 193, 579]]

[580, [1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580]]

[581, [1, 7, 83, 581]]

[582, [1, 2, 3, 6, 97, 194, 291, 582]]

[583, [1, 11, 53, 583]]

[584, [1, 2, 4, 8, 73, 146, 292, 584]]

[585, [1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585]]

[586, [1, 2, 293, 586]]

[587, [1, 587]]

[588, [1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588]]

[589, [1, 19, 31, 589]]

[590, [1, 2, 5, 10, 59, 118, 295, 590]]

[591, [1, 3, 197, 591]]

[592, [1, 2, 4, 8, 16, 37, 74, 148, 296, 592]]

[593, [1, 593]]

[594, [1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594]]

[595, [1, 5, 7, 17, 35, 85, 119, 595]]

[596, [1, 2, 4, 149, 298, 596]]

[597, [1, 3, 199, 597]]

[598, [1, 2, 13, 23, 26, 46, 299, 598]]

[599, [1, 599]]

[600, [1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600]]

[601, [1, 601]]

[602, [1, 2, 7, 14, 43, 86, 301, 602]]

[603, [1, 3, 9, 67, 201, 603]]

[604, [1, 2, 4, 151, 302, 604]]

[605, [1, 5, 11, 55, 121, 605]]

[606, [1, 2, 3, 6, 101, 202, 303, 606]]

[607, [1, 607]]

[608, [1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608]]

[609, [1, 3, 7, 21, 29, 87, 203, 609]]

[610, [1, 2, 5, 10, 61, 122, 305, 610]]

[611, [1, 13, 47, 611]]

[612, [1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612]]

[613, [1, 613]]

[614, [1, 2, 307, 614]]

[615, [1, 3, 5, 15, 41, 123, 205, 615]]

[616, [1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616]]

[617, [1, 617]]

[618, [1, 2, 3, 6, 103, 206, 309, 618]]

[619, [1, 619]]

[620, [1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620]]

[621, [1, 3, 9, 23, 27, 69, 207, 621]]

[622, [1, 2, 311, 622]]

[623, [1, 7, 89, 623]]

[624, [1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624]]

[625, [1, 5, 25, 125, 625]]

[626, [1, 2, 313, 626]]

[627, [1, 3, 11, 19, 33, 57, 209, 627]]

[628, [1, 2, 4, 157, 314, 628]]

[629, [1, 17, 37, 629]]

[630, [1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630]]

[631, [1, 631]]

[632, [1, 2, 4, 8, 79, 158, 316, 632]]

[633, [1, 3, 211, 633]]

[634, [1, 2, 317, 634]]

[635, [1, 5, 127, 635]]

[636, [1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636]]

[637, [1, 7, 13, 49, 91, 637]]

[638, [1, 2, 11, 22, 29, 58, 319, 638]]

[639, [1, 3, 9, 71, 213, 639]]

[640, [1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640]]

[641, [1, 641]]

[642, [1, 2, 3, 6, 107, 214, 321, 642]]

[643, [1, 643]]

[644, [1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644]]

[645, [1, 3, 5, 15, 43, 129, 215, 645]]

[646, [1, 2, 17, 19, 34, 38, 323, 646]]

[647, [1, 647]]

[648, [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648]]

[649, [1, 11, 59, 649]]

[650, [1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650]]

[651, [1, 3, 7, 21, 31, 93, 217, 651]]

[652, [1, 2, 4, 163, 326, 652]]

[653, [1, 653]]

[654, [1, 2, 3, 6, 109, 218, 327, 654]]

[655, [1, 5, 131, 655]]

[656, [1, 2, 4, 8, 16, 41, 82, 164, 328, 656]]

[657, [1, 3, 9, 73, 219, 657]]

[658, [1, 2, 7, 14, 47, 94, 329, 658]]

[659, [1, 659]]

[660, [1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660]]

[661, [1, 661]]

[662, [1, 2, 331, 662]]

[663, [1, 3, 13, 17, 39, 51, 221, 663]]

[664, [1, 2, 4, 8, 83, 166, 332, 664]]

[665, [1, 5, 7, 19, 35, 95, 133, 665]]

[666, [1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666]]

[667, [1, 23, 29, 667]]

[668, [1, 2, 4, 167, 334, 668]]

[669, [1, 3, 223, 669]]

[670, [1, 2, 5, 10, 67, 134, 335, 670]]

[671, [1, 11, 61, 671]]

[672, [1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672]]

[673, [1, 673]]

[674, [1, 2, 337, 674]]

[675, [1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675]]

[676, [1, 2, 4, 13, 26, 52, 169, 338, 676]]

[677, [1, 677]]

[678, [1, 2, 3, 6, 113, 226, 339, 678]]

[679, [1, 7, 97, 679]]

[680, [1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680]]

[681, [1, 3, 227, 681]]

[682, [1, 2, 11, 22, 31, 62, 341, 682]]

[683, [1, 683]]

[684, [1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684]]

[685, [1, 5, 137, 685]]

[686, [1, 2, 7, 14, 49, 98, 343, 686]]

[687, [1, 3, 229, 687]]

[688, [1, 2, 4, 8, 16, 43, 86, 172, 344, 688]]

[689, [1, 13, 53, 689]]

[690, [1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690]]

[691, [1, 691]]

[692, [1, 2, 4, 173, 346, 692]]

[693, [1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693]]

[694, [1, 2, 347, 694]]

[695, [1, 5, 139, 695]]

[696, [1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696]]

[697, [1, 17, 41, 697]]

[698, [1, 2, 349, 698]]

[699, [1, 3, 233, 699]]

[700, [1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700]]

[701, [1, 701]]

[702, [1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702]]

[703, [1, 19, 37, 703]]

[704, [1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704]]

[705, [1, 3, 5, 15, 47, 141, 235, 705]]

[706, [1, 2, 353, 706]]

[707, [1, 7, 101, 707]]

[708, [1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708]]

[709, [1, 709]]

[710, [1, 2, 5, 10, 71, 142, 355, 710]]

[711, [1, 3, 9, 79, 237, 711]]

[712, [1, 2, 4, 8, 89, 178, 356, 712]]

[713, [1, 23, 31, 713]]

[714, [1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714]]

[715, [1, 5, 11, 13, 55, 65, 143, 715]]

[716, [1, 2, 4, 179, 358, 716]]

[717, [1, 3, 239, 717]]

[718, [1, 2, 359, 718]]

[719, [1, 719]]

[720, [1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720]]

[721, [1, 7, 103, 721]]

[722, [1, 2, 19, 38, 361, 722]]

[723, [1, 3, 241, 723]]

[724, [1, 2, 4, 181, 362, 724]]

[725, [1, 5, 25, 29, 145, 725]]

[726, [1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726]]

[727, [1, 727]]

[728, [1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728]]

[729, [1, 3, 9, 27, 81, 243, 729]]

[730, [1, 2, 5, 10, 73, 146, 365, 730]]

[731, [1, 17, 43, 731]]

[732, [1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732]]

[733, [1, 733]]

[734, [1, 2, 367, 734]]

[735, [1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735]]

[736, [1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736]]

[737, [1, 11, 67, 737]]

[738, [1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738]]

[739, [1, 739]]

[740, [1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740]]

[741, [1, 3, 13, 19, 39, 57, 247, 741]]

[742, [1, 2, 7, 14, 53, 106, 371, 742]]

[743, [1, 743]]

[744, [1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744]]

[745, [1, 5, 149, 745]]

[746, [1, 2, 373, 746]]

[747, [1, 3, 9, 83, 249, 747]]

[748, [1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748]]

[749, [1, 7, 107, 749]]

[750, [1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750]]

[751, [1, 751]]

[752, [1, 2, 4, 8, 16, 47, 94, 188, 376, 752]]

[753, [1, 3, 251, 753]]

[754, [1, 2, 13, 26, 29, 58, 377, 754]]

[755, [1, 5, 151, 755]]

[756, [1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756]]

[757, [1, 757]]

[758, [1, 2, 379, 758]]

[759, [1, 3, 11, 23, 33, 69, 253, 759]]

[760, [1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760]]

[761, [1, 761]]

[762, [1, 2, 3, 6, 127, 254, 381, 762]]

[763, [1, 7, 109, 763]]

[764, [1, 2, 4, 191, 382, 764]]

[765, [1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765]]

[766, [1, 2, 383, 766]]

[767, [1, 13, 59, 767]]

[768, [1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768]]

[769, [1, 769]]

[770, [1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770]]

[771, [1, 3, 257, 771]]

[772, [1, 2, 4, 193, 386, 772]]

[773, [1, 773]]

[774, [1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774]]

[775, [1, 5, 25, 31, 155, 775]]

[776, [1, 2, 4, 8, 97, 194, 388, 776]]

[777, [1, 3, 7, 21, 37, 111, 259, 777]]

[778, [1, 2, 389, 778]]

[779, [1, 19, 41, 779]]

[780, [1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780]]

[781, [1, 11, 71, 781]]

[782, [1, 2, 17, 23, 34, 46, 391, 782]]

[783, [1, 3, 9, 27, 29, 87, 261, 783]]

[784, [1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784]]

[785, [1, 5, 157, 785]]

[786, [1, 2, 3, 6, 131, 262, 393, 786]]

[787, [1, 787]]

[788, [1, 2, 4, 197, 394, 788]]

[789, [1, 3, 263, 789]]

[790, [1, 2, 5, 10, 79, 158, 395, 790]]

[791, [1, 7, 113, 791]]

[792, [1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792]]

[793, [1, 13, 61, 793]]

[794, [1, 2, 397, 794]]

[795, [1, 3, 5, 15, 53, 159, 265, 795]]

[796, [1, 2, 4, 199, 398, 796]]

[797, [1, 797]]

[798, [1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798]]

[799, [1, 17, 47, 799]]

[800, [1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800]]

[801, [1, 3, 9, 89, 267, 801]]

[802, [1, 2, 401, 802]]

[803, [1, 11, 73, 803]]

[804, [1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804]]

[805, [1, 5, 7, 23, 35, 115, 161, 805]]

[806, [1, 2, 13, 26, 31, 62, 403, 806]]

[807, [1, 3, 269, 807]]

[808, [1, 2, 4, 8, 101, 202, 404, 808]]

[809, [1, 809]]

[810, [1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810]]

[811, [1, 811]]

[812, [1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812]]

[813, [1, 3, 271, 813]]

[814, [1, 2, 11, 22, 37, 74, 407, 814]]

[815, [1, 5, 163, 815]]

[816, [1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816]]

[817, [1, 19, 43, 817]]

[818, [1, 2, 409, 818]]

[819, [1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819]]

[820, [1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820]]

[821, [1, 821]]

[822, [1, 2, 3, 6, 137, 274, 411, 822]]

[823, [1, 823]]

[824, [1, 2, 4, 8, 103, 206, 412, 824]]

[825, [1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825]]

[826, [1, 2, 7, 14, 59, 118, 413, 826]]

[827, [1, 827]]

[828, [1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828]]

[829, [1, 829]]

[830, [1, 2, 5, 10, 83, 166, 415, 830]]

[831, [1, 3, 277, 831]]

[832, [1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832]]

[833, [1, 7, 17, 49, 119, 833]]

[834, [1, 2, 3, 6, 139, 278, 417, 834]]

[835, [1, 5, 167, 835]]

[836, [1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836]]

[837, [1, 3, 9, 27, 31, 93, 279, 837]]

[838, [1, 2, 419, 838]]

[839, [1, 839]]

[840, [1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840]]

[841, [1, 29, 841]]

[842, [1, 2, 421, 842]]

[843, [1, 3, 281, 843]]

[844, [1, 2, 4, 211, 422, 844]]

[845, [1, 5, 13, 65, 169, 845]]

[846, [1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846]]

[847, [1, 7, 11, 77, 121, 847]]

[848, [1, 2, 4, 8, 16, 53, 106, 212, 424, 848]]

[849, [1, 3, 283, 849]]

[850, [1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850]]

[851, [1, 23, 37, 851]]

[852, [1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852]]

[853, [1, 853]]

[854, [1, 2, 7, 14, 61, 122, 427, 854]]

[855, [1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855]]

[856, [1, 2, 4, 8, 107, 214, 428, 856]]

[857, [1, 857]]

[858, [1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858]]

[859, [1, 859]]

[860, [1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860]]

[861, [1, 3, 7, 21, 41, 123, 287, 861]]

[862, [1, 2, 431, 862]]

[863, [1, 863]]

[864, [1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864]]

[865, [1, 5, 173, 865]]

[866, [1, 2, 433, 866]]

[867, [1, 3, 17, 51, 289, 867]]

[868, [1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868]]

[869, [1, 11, 79, 869]]

[870, [1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870]]

[871, [1, 13, 67, 871]]

[872, [1, 2, 4, 8, 109, 218, 436, 872]]

[873, [1, 3, 9, 97, 291, 873]]

[874, [1, 2, 19, 23, 38, 46, 437, 874]]

[875, [1, 5, 7, 25, 35, 125, 175, 875]]

[876, [1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876]]

[877, [1, 877]]

[878, [1, 2, 439, 878]]

[879, [1, 3, 293, 879]]

[880, [1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880]]

[881, [1, 881]]

[882, [1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882]]

[883, [1, 883]]

[884, [1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884]]

[885, [1, 3, 5, 15, 59, 177, 295, 885]]

[886, [1, 2, 443, 886]]

[887, [1, 887]]

[888, [1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888]]

[889, [1, 7, 127, 889]]

[890, [1, 2, 5, 10, 89, 178, 445, 890]]

[891, [1, 3, 9, 11, 27, 33, 81, 99, 297, 891]]

[892, [1, 2, 4, 223, 446, 892]]

[893, [1, 19, 47, 893]]

[894, [1, 2, 3, 6, 149, 298, 447, 894]]

[895, [1, 5, 179, 895]]

[896, [1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896]]

[897, [1, 3, 13, 23, 39, 69, 299, 897]]

[898, [1, 2, 449, 898]]

[899, [1, 29, 31, 899]]

[900, [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900]]

[901, [1, 17, 53, 901]]

[902, [1, 2, 11, 22, 41, 82, 451, 902]]

[903, [1, 3, 7, 21, 43, 129, 301, 903]]

[904, [1, 2, 4, 8, 113, 226, 452, 904]]

[905, [1, 5, 181, 905]]

[906, [1, 2, 3, 6, 151, 302, 453, 906]]

[907, [1, 907]]

[908, [1, 2, 4, 227, 454, 908]]

[909, [1, 3, 9, 101, 303, 909]]

[910, [1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910]]

[911, [1, 911]]

[912, [1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912]]

[913, [1, 11, 83, 913]]

[914, [1, 2, 457, 914]]

[[915, [1, 3, 5, 15, 61, 183, 305, 915]]

[916, [1, 2, 4, 229, 458, 916]]

[917, [1, 7, 131, 917]]

[918, [1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918]]

[919, [1, 919]]

[920, [1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920]]

[921, [1, 3, 307, 921]]

[922, [1, 2, 461, 922]]

[923, [1, 13, 71, 923]]

[924, [1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924]]

[925, [1, 5, 25, 37, 185, 925]]

[926, [1, 2, 463, 926]]

[927, [1, 3, 9, 103, 309, 927]]

[928, [1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928]]

[929, [1, 929]]

[930, [1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930]]

[931, [1, 7, 19, 49, 133, 931]]

[932, [1, 2, 4, 233, 466, 932]]

[933, [1, 3, 311, 933]]

[934, [1, 2, 467, 934]]

[935, [1, 5, 11, 17, 55, 85, 187, 935]]

[936, [1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936]]

[937, [1, 937]]

[938, [1, 2, 7, 14, 67, 134, 469, 938]]

[939, [1, 3, 313, 939]]

[940, [1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940]]

[941, [1, 941]]

[942, [1, 2, 3, 6, 157, 314, 471, 942]]

[943, [1, 23, 41, 943]]

[944, [1, 2, 4, 8, 16, 59, 118, 236, 472, 944]]

[945, [1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945]]

[946, [1, 2, 11, 22, 43, 86, 473, 946]]

[947, [1, 947]]

[948, [1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948]]

[949, [1, 13, 73, 949]]

[950, [1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950]]

[951, [1, 3, 317, 951]]

[952, [1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952]]

[953, [1, 953]]

[954, [1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954]]

[955, [1, 5, 191, 955]]

[956, [1, 2, 4, 239, 478, 956]]

[957, [1, 3, 11, 29, 33, 87, 319, 957]]

[958, [1, 2, 479, 958]]

[959, [1, 7, 137, 959]]

[960, [1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960]]

[961, [1, 31, 961]]

[962, [1, 2, 13, 26, 37, 74, 481, 962]]

[963, [1, 3, 9, 107, 321, 963]]

[964, [1, 2, 4, 241, 482, 964]]

[965, [1, 5, 193, 965]]

[966, [1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966]]

[967, [1, 967]]

[968, [1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968]]

[969, [1, 3, 17, 19, 51, 57, 323, 969]]

[970, [1, 2, 5, 10, 97, 194, 485, 970]]

[971, [1, 971]]

[972, [1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972]]

[973, [1, 7, 139, 973]]

[974, [1, 2, 487, 974]]

[975, [1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975]]

[976, [1, 2, 4, 8, 16, 61, 122, 244, 488, 976]]

[977, [1, 977]]

[978, [1, 2, 3, 6, 163, 326, 489, 978]]

[979, [1, 11, 89, 979]]

[980, [1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980]]

[981, [1, 3, 9, 109, 327, 981]]

[982, [1, 2, 491, 982]]

[983, [1, 983]]

[984, [1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984]]

[985, [1, 5, 197, 985]]

[986, [1, 2, 17, 29, 34, 58, 493, 986]]

[987, [1, 3, 7, 21, 47, 141, 329, 987]]

[988, [1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988]]

[989, [1, 23, 43, 989]]

[990, [1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990]]

[991, [1, 991]]

[992, [1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992]]

[993, [1, 3, 331, 993]]

[994, [1, 2, 7, 14, 71, 142, 497, 994]]

[995, [1, 5, 199, 995]]

[996, [1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996]]

[997, [1, 997]]

[998, [1, 2, 499, 998]]

[999, [1, 3, 9, 27, 37, 111, 333, 999]]

[1000, [1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000]]]

Теперь несложно посчитать и сумму делителей чисел от 1 до 1000(которые тоже были получены с помощью программы Derive (по формуле 2.), теперь делители «a» просто складывались):

[1, 1]

[2, 3]

[3, 4]

[4, 7]

[5, 6]

[6, 12]

[7, 8]

[8, 15]

[9, 13]

[10, 18]

[11, 12]

[12, 28]

[13, 14]

[14, 24]

[15, 24]

[16, 31]

[17, 18]

[18, 39]

[19, 20]

[20, 42]

[21, 32]

[22, 36]

[23, 24]

[24, 60]

[25, 31]

[26, 42]

[27, 40]

[28, 56]

[29, 30]

[30, 72]

[31, 32]

[32, 63]

[33, 48]

[34, 54]

[35, 48]

[36, 91]

[37, 38]

[38, 60]

[39, 56]

[40, 90]

[41, 42]

[42, 96]

[43, 44]

[44, 84]

[45, 78]

[46, 72]

[47, 48]

[48, 124]

[49, 57]

[50, 93]

[51, 72]

[52, 98]

[53, 54]

[54, 120]

[55, 72]

[56, 120]

[57, 80]

[58, 90]

[59, 60]

[60, 168]

[61, 62]

[62, 96]

[63, 104]

[64, 127]

[65, 84]

[66, 144]

[67, 68]

[68, 126]

[69, 96]

[70, 144]

[71, 72]

[72, 195]

[73, 74]

[74, 114]

[75, 124]

[76, 140]

[77, 96]

[78, 168]

[79, 80]

[80, 186]

[81, 121]

[82, 126]

[83, 84]

[84, 224]

[85, 108]

[86, 132]

[87, 120]

[88, 180]

[89, 90]

[90, 234]

[91, 112]

[92, 168]

[93, 128]

[94, 144]

[95, 120]

[96, 252]

[97, 98]

[98, 171]

[99, 156]

[100, 217]

[101, 102]

[102, 216]

[103, 104]

[104, 210]

[105, 192]

[106, 162]

[107, 108]

[108, 280]

[109, 110]

[110, 216]

[111, 152]

[112, 248]

[113, 114]

[114, 240]

[115, 144]

[116, 210]

[117, 182]

[118, 180]

[119, 144]

[120, 360]

[121, 133]

[122, 186]

[123, 168]

[124, 224]

[125, 156]

[126, 312]

[127, 128]

[128, 255]

[129, 176]

[130, 252]

[131, 132]

[132, 336]

[133, 160]

[134, 204]

[135, 240]

[136, 270]

[137, 138]

[138, 288]

[139, 140]

[140, 336]

[141, 192]

[142, 216]

[143, 168]

[144, 403]

[145, 180]

[146, 222]

[147, 228]

[148, 266]

[149, 150]

[150, 372]

[151, 152]

[152, 300]

[153, 234]

[154, 288]

[155, 192]

[156, 392]

[157, 158]

[158, 240]

[159, 216]

[160, 378]

[161, 192]

[162, 363]

[163, 164]

[164, 294]

[165, 288]

[166, 252]

[167, 168]

[168, 480]

[169, 183]

[170, 324]

[171, 260]

[172, 308]

[173, 174]

[174, 360]

[175, 248]

[176, 372]

[177, 240]

[178, 270]

[179, 180]

[180, 546]

[181, 182]

[182, 336]

[183, 248]

[184, 360]

[185, 228]

[186, 384]

[187, 216]

[188, 336]

[189, 320]

[190, 360]

[191, 192]

[192, 508]

[193, 194]

[194, 294]

[195, 336]

[196, 399]

[197, 198]

[198, 468]

[199, 200]

[200, 465]

[201, 272]

[202, 306]

[203, 240]

[204, 504]

[205, 252]

[206, 312]

[207, 312]

[208, 434]

[209, 240]

[210, 576]

[211, 212]

[212, 378]

[213, 288]

[214, 324]

[215, 264]

[216, 600]

[217, 256]

[218, 330]

[219, 296]

[220, 504]

[221, 252]

[222, 456]

[223, 224]

[224, 504]

[225, 403]

[226, 342]

[227, 228]

[228, 560]

[229, 230]

[230, 432]

[231, 384]

[232, 450]

[233, 234]

[234, 546]

[235, 288]

[236, 420]

[237, 320]

[238, 432]

[239, 240]

[240, 744]

[241, 242]

[242, 399]

[243, 364]

[244, 434]

[245, 342]

[246, 504]

[247, 280]

[248, 480]

[249, 336]

[250, 468]

[251, 252]

[252, 728]

[253, 288]

[254, 384]

[255, 432]

[256, 511]

[257, 258]

[258, 528]

[259, 304]

[260, 588]

[261, 390]

[262, 396]

[263, 264]

[264, 720]

[265, 324]

[266, 480]

[267, 360]

[268, 476]

[269, 270]

[270, 720]

[271, 272]

[272, 558]

[273, 448]

[274, 414]

[275, 372]

[276, 672]

[277, 278]

[278, 420]

[279, 416]

[280, 720]

[281, 282]

[282, 576]

[283, 284]

[284, 504]

[285, 480]

[286, 504]

[287, 336]

[288, 819]

[289, 307]

[290, 540]

[291, 392]

[292, 518]

[293, 294]

[294, 684]

[295, 360]

[296, 570]

[297, 480]

[298, 450]

[299, 336]

[300, 868]

[301, 352]

[302, 456]

[303, 408]

[304, 620]

[305, 372]

[306, 702]

[307, 308]

[308, 672]

[309, 416]

[310, 576]

[311, 312]

[312, 840]

[313, 314]

[314, 474]

[315, 624]

[316, 560]

[317, 318]

[318, 648]

[319, 360]

[320, 762]

[321, 432]

[322, 576]

[323, 360]

[324, 847]

[325, 434]

[326, 492]

[327, 440]

[328, 630]

[329, 384]

[330, 864]

[331, 332]

[332, 588]

[333, 494]

[334, 504]

[335, 408]

[336, 992]

[337, 338]

[338, 549]

[339, 456]

[340, 756]

[341, 384]

[342, 780]

[343, 400]

[344, 660]

[345, 576]

[346, 522]

[347, 348]

[348, 840]

[349, 350]

[350, 744]

[351, 560]

[352, 756]

[353, 354]

[354, 720]

[355, 432]

[356, 630]

[357, 576]

[358, 540]

[359, 360]

[360, 1170]

[361, 381]

[362, 546]

[363, 532]

[364, 784]

[365, 444]

[366, 744]

[367, 368]

[368, 744]

[369, 546]

[370, 684]

[371, 432]

[372, 896]

[373, 374]

[374, 648]

[375, 624]

[376, 720]

[377, 420]

[378, 960]

[379, 380]

[380, 840]

[381, 512]

[382, 576]

[383, 384]

[384, 1020]

[385, 576]

[386, 582]

[387, 572]

[388, 686]

[389, 390]

[390, 1008]

[391, 432]

[392, 855]

[393, 528]

[394, 594]

[395, 480]

[396, 1092]

[397, 398]

[398, 600]

[399, 640]

[400, 961]

[401, 402]

[402, 816]

[403, 448]

[404, 714]

[405, 726]

[406, 720]

[407, 456]

[408, 1080]

[409, 410]

[410, 756]

[411, 552]

[412, 728]

Учебная работа № 1634. Сумма делителей числа