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cubic numbers
A figurate number of the form n3. more

The first 600 cubic numbers :
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375, 4096, 4913, 5832, 6859, 8000, 9261, 10648, 12167, 13824, 15625, 17576, 19683, 21952, 24389, 27000, 29791, 32768, 35937, 39304, 42875, 46656, 50653, 54872, 59319, 64000, 68921, 74088, 79507, 85184, 91125, 97336, 103823, 110592, 117649, 125000, 132651, 140608, 148877, 157464, 166375, 175616, 185193, 195112, 205379, 216000, 226981, 238328, 250047, 262144, 274625, 287496, 300763, 314432, 328509, 343000, 357911, 373248, 389017, 405224, 421875, 438976, 456533, 474552, 493039, 512000, 531441, 551368, 571787, 592704, 614125, 636056, 658503, 681472, 704969, 729000, 753571, 778688, 804357, 830584, 857375, 884736, 912673, 941192, 970299, 1000000, 1030301, 1061208, 1092727, 1124864, 1157625, 1191016, 1225043, 1259712, 1295029, 1331000, 1367631, 1404928, 1442897, 1481544, 1520875, 1560896, 1601613, 1643032, 1685159, 1728000, 1771561, 1815848, 1860867, 1906624, 1953125, 2000376, 2048383, 2097152, 2146689, 2197000, 2248091, 2299968, 2352637, 2406104, 2460375, 2515456, 2571353, 2628072, 2685619, 2744000, 2803221, 2863288, 2924207, 2985984, 3048625, 3112136, 3176523, 3241792, 3307949, 3375000, 3442951, 3511808, 3581577, 3652264, 3723875, 3796416, 3869893, 3944312, 4019679, 4096000, 4173281, 4251528, 4330747, 4410944, 4492125, 4574296, 4657463, 4741632, 4826809, 4913000, 5000211, 5088448, 5177717, 5268024, 5359375, 5451776, 5545233, 5639752, 5735339, 5832000, 5929741, 6028568, 6128487, 6229504, 6331625, 6434856, 6539203, 6644672, 6751269, 6859000, 6967871, 7077888, 7189057, 7301384, 7414875, 7529536, 7645373, 7762392, 7880599, 8000000, 8120601, 8242408, 8365427, 8489664, 8615125, 8741816, 8869743, 8998912, 9129329, 9261000, 9393931, 9528128, 9663597, 9800344, 9938375, 10077696, 10218313, 10360232, 10503459, 10648000, 10793861, 10941048, 11089567, 11239424, 11390625, 11543176, 11697083, 11852352, 12008989, 12167000, 12326391, 12487168, 12649337, 12812904, 12977875, 13144256, 13312053, 13481272, 13651919, 13824000, 13997521, 14172488, 14348907, 14526784, 14706125, 14886936, 15069223, 15252992, 15438249, 15625000, 15813251, 16003008, 16194277, 16387064, 16581375, 16777216, 16974593, 17173512, 17373979, 17576000, 17779581, 17984728, 18191447, 18399744, 18609625, 18821096, 19034163, 19248832, 19465109, 19683000, 19902511, 20123648, 20346417, 20570824, 20796875, 21024576, 21253933, 21484952, 21717639, 21952000, 22188041, 22425768, 22665187, 22906304, 23149125, 23393656, 23639903, 23887872, 24137569, 24389000, 24642171, 24897088, 25153757, 25412184, 25672375, 25934336, 26198073, 26463592, 26730899, 27000000, 27270901, 27543608, 27818127, 28094464, 28372625, 28652616, 28934443, 29218112, 29503629, 29791000, 30080231, 30371328, 30664297, 30959144, 31255875, 31554496, 31855013, 32157432, 32461759, 32768000, 33076161, 33386248, 33698267, 34012224, 34328125, 34645976, 34965783, 35287552, 35611289, 35937000, 36264691, 36594368, 36926037, 37259704, 37595375, 37933056, 38272753, 38614472, 38958219, 39304000, 39651821, 40001688, 40353607, 40707584, 41063625, 41421736, 41781923, 42144192, 42508549, 42875000, 43243551, 43614208, 43986977, 44361864, 44738875, 45118016, 45499293, 45882712, 46268279, 46656000, 47045881, 47437928, 47832147, 48228544, 48627125, 49027896, 49430863, 49836032, 50243409, 50653000, 51064811, 51478848, 51895117, 52313624, 52734375, 53157376, 53582633, 54010152, 54439939, 54872000, 55306341, 55742968, 56181887, 56623104, 57066625, 57512456, 57960603, 58411072, 58863869, 59319000, 59776471, 60236288, 60698457, 61162984, 61629875, 62099136, 62570773, 63044792, 63521199, 64000000, 64481201, 64964808, 65450827, 65939264, 66430125, 66923416, 67419143, 67917312, 68417929, 68921000, 69426531, 69934528, 70444997, 70957944, 71473375, 71991296, 72511713, 73034632, 73560059, 74088000, 74618461, 75151448, 75686967, 76225024, 76765625, 77308776, 77854483, 78402752, 78953589, 79507000, 80062991, 80621568, 81182737, 81746504, 82312875, 82881856, 83453453, 84027672, 84604519, 85184000, 85766121, 86350888, 86938307, 87528384, 88121125, 88716536, 89314623, 89915392, 90518849, 91125000, 91733851, 92345408, 92959677, 93576664, 94196375, 94818816, 95443993, 96071912, 96702579, 97336000, 97972181, 98611128, 99252847, 99897344, 100544625, 101194696, 101847563, 102503232, 103161709, 103823000, 104487111, 105154048, 105823817, 106496424, 107171875, 107850176, 108531333, 109215352, 109902239, 110592000, 111284641, 111980168, 112678587, 113379904, 114084125, 114791256, 115501303, 116214272, 116930169, 117649000, 118370771, 119095488, 119823157, 120553784, 121287375, 122023936, 122763473, 123505992, 124251499, 125000000, 125751501, 126506008, 127263527, 128024064, 128787625, 129554216, 130323843, 131096512, 131872229, 132651000, 133432831, 134217728, 135005697, 135796744, 136590875, 137388096, 138188413, 138991832, 139798359, 140608000, 141420761, 142236648, 143055667, 143877824, 144703125, 145531576, 146363183, 147197952, 148035889, 148877000, 149721291, 150568768, 151419437, 152273304, 153130375, 153990656, 154854153, 155720872, 156590819, 157464000, 158340421, 159220088, 160103007, 160989184, 161878625, 162771336, 163667323, 164566592, 165469149, 166375000, 167284151, 168196608, 169112377, 170031464, 170953875, 171879616, 172808693, 173741112, 174676879, 175616000, 176558481, 177504328, 178453547, 179406144, 180362125, 181321496, 182284263, 183250432, 184220009, 185193000, 186169411, 187149248, 188132517, 189119224, 190109375, 191102976, 192100033, 193100552, 194104539, 195112000, 196122941, 197137368, 198155287, 199176704, 200201625, 201230056, 202262003, 203297472, 204336469, 205379000, 206425071, 207474688, 208527857, 209584584, 210644875, 211708736, 212776173, 213847192, 214921799, 216000000.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 100000 values, from 1 to 1000000000000000).

n\r 0  1 
25000050000 2 
3333333333433333 3 
45000025000025000 4 
52000020000200002000020000 5 
6166661666716667166671666716666 6 
71428542858000042857 7 
85000012500012500012500012500 8 
9333333333400000033333 9 
1010000100001000010000100001000010000100001000010000 10 
1190909091909190919091909190919091909190919091

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.