def test_simple_divisors_large_numbers(self):
arg = 630504000
result = Modular.divisors(arg)
expected = {
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25,
27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 50, 54, 56, 60, 63, 64, 70,
72, 75, 80, 81, 84, 90, 96, 100, 105, 108, 112, 120, 125, 126, 135,
139, 140, 144, 150, 160, 162, 168, 175, 180, 189, 192, 200, 210,
216, 224, 225, 240, 250, 252, 270, 278, 280, 288, 300, 315, 320,
324, 336, 350, 360, 375, 378, 400, 405, 417, 420, 432, 448, 450,
480, 500, 504, 525, 540, 556, 560, 567, 576, 600, 630, 648, 672,
675, 695, 700, 720, 750, 756, 800, 810, 834, 840, 864, 875, 900,
945, 960, 973, 1000, 1008, 1050, 1080, 1112, 1120, 1125, 1134,
1200, 1251, 1260, 1296, 1344, 1350, 1390, 1400, 1440, 1500, 1512,
1575, 1600, 1620, 1668, 1680, 1728, 1750, 1800, 1890, 1946, 2000,
2016, 2025, 2085, 2100, 2160, 2224, 2240, 2250, 2268, 2400, 2502,
2520, 2592, 2625, 2700, 2780, 2800, 2835, 2880, 2919, 3000, 3024,
3150, 3240, 3336, 3360, 3375, 3475, 3500, 3600, 3753, 3780, 3892,
4000, 4032, 4050, 4170, 4200, 4320, 4448, 4500, 4536, 4725, 4800,
4865, 5004, 5040, 5184, 5250, 5400, 5560, 5600, 5670, 5838, 6000,
6048, 6255, 6300, 6480, 6672, 6720, 6750, 6950, 7000, 7200, 7506,
7560, 7784, 7875, 8000, 8100, 8340, 8400, 8640, 8757, 8896, 9000,
9072, 9450, 9730, 10008, 10080, 10125, 10425, 10500, 10800, 11120,
11200, 11259, 11340, 11676, 12000, 12096, 12510, 12600, 12960,
13344, 13500, 13900, 14000, 14175, 14400, 14595, 15012, 15120,
15568, 15750, 16200, 16680, 16800, 17375, 17514, 18000, 18144,
18765, 18900, 19460, 20016, 20160, 20250, 20850, 21000, 21600,
22240, 22518, 22680, 23352, 23625, 24000, 24325, 25020, 25200,
25920, 26271, 26688, 27000, 27800, 28000, 28350, 29190, 30024,
30240, 31136, 31275, 31500, 32400, 33360, 33600, 34750, 35028,
36000, 36288, 37530, 37800, 38920, 40032, 40500, 41700, 42000,
43200, 43785, 44480, 45036, 45360, 46704, 47250, 48650, 50040,
50400, 52125, 52542, 54000, 55600, 56000, 56295, 56700, 58380,
60048, 60480, 62272, 62550, 63000, 64800, 66720, 69500, 70056,
70875, 72000, 72975, 75060, 75600, 77840, 78813, 80064, 81000,
83400, 84000, 87570, 90072, 90720, 93408, 93825, 94500, 97300,
100080, 100800, 104250, 105084, 108000, 111200, 112590, 113400,
116760, 120096, 121625, 125100, 126000, 129600, 131355, 133440,
139000, 140112, 141750, 145950, 150120, 151200, 155680, 156375,
157626, 162000, 166800, 168000, 175140, 180144, 181440, 186816,
187650, 189000, 194600, 200160, 208500, 210168, 216000, 218925,
222400, 225180, 226800, 233520, 240192, 243250, 250200, 252000,
262710, 278000, 280224, 281475, 283500, 291900, 300240, 302400,
311360, 312750, 315252, 324000, 333600, 350280, 360288, 364875,
375300, 378000, 389200, 394065, 400320, 417000, 420336, 437850,
450360, 453600, 467040, 469125, 486500, 500400, 504000, 525420,
556000, 560448, 562950, 567000, 583800, 600480, 625500, 630504,
648000, 656775, 667200, 700560, 720576, 729750, 750600, 756000,
778400, 788130, 834000, 840672, 875700, 900720, 907200, 934080,
938250, 973000, 1000800, 1050840, 1094625, 1112000, 1125900,
1134000, 1167600, 1200960, 1251000, 1261008, 1313550, 1401120,
1407375, 1459500, 1501200, 1512000, 1556800, 1576260, 1668000,
1681344, 1751400, 1801440, 1876500, 1946000, 1970325, 2001600,
2101680, 2189250, 2251800, 2268000, 2335200, 2502000, 2522016,
2627100, 2802240, 2814750, 2919000, 3002400, 3152520, 3283875,
3336000, 3502800, 3602880, 3753000, 3892000, 3940650, 4203360,
4378500, 4503600, 4536000, 4670400, 5004000, 5044032, 5254200,
5629500, 5838000, 6004800, 6305040, 6567750, 7005600, 7506000,
7784000, 7881300, 8406720, 8757000, 9007200, 9851625, 10008000,
10508400, 11259000, 11676000, 12610080, 13135500, 14011200,
15012000, 15762600, 17514000, 18014400, 19703250, 21016800,
22518000, 23352000, 25220160, 26271000, 30024000, 31525200,
35028000, 39406500, 42033600, 45036000, 52542000, 63050400,
70056000, 78813000, 90072000, 105084000, 126100800, 157626000,
210168000, 315252000, 630504000
}
self.assertEqual(expected, result)
def test_divisors_of_one(self):
arg = 1
result = Modular.divisors(arg)
expected = {1}
self.assertEqual(expected, result)
def test_divisors_of_two(self):
arg = 2
result = Modular.divisors(arg)
expected = {1, 2}
self.assertEqual(expected, result)
def test_simple_divisors(self):
arg = 24
result = Modular.divisors(arg)
expected = {1, 2, 3, 4, 6, 8, 12, 24}
self.assertEqual(expected, result)