.
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]]
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