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Рефераты / Математика /Не нашли нужную работу? Закажи реферат, курсовую, диплом на заказ реферат на тему: Сумма делителей числаСумма 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,
1 2 3 4 ... последняя Не нашли нужную работу? Закажи реферат, курсовую, диплом на заказ Внимание! Студенческий отдых и мегатусовка после сессии!
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