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hoax numbers
A composite number the sum of whose digits is equal to the sum of the digits of its distinct prime factors. more

The first 600 hoax numbers :
22, 58, 84, 85, 94, 136, 160, 166, 202, 234, 250, 265, 274, 308, 319, 336, 346, 355, 361, 364, 382, 391, 424, 438, 454, 456, 476, 483, 516, 517, 526, 535, 562, 627, 634, 644, 645, 650, 654, 660, 663, 690, 702, 706, 732, 735, 762, 778, 855, 860, 861, 895, 913, 915, 922, 948, 958, 985, 1086, 1111, 1116, 1148, 1165, 1219, 1255, 1282, 1312, 1344, 1404, 1484, 1507, 1550, 1576, 1581, 1600, 1612, 1626, 1633, 1642, 1650, 1665, 1678, 1708, 1752, 1795, 1812, 1822, 1824, 1842, 1858, 1876, 1894, 1903, 1921, 1924, 1966, 2008, 2038, 2064, 2067, 2106, 2155, 2166, 2173, 2182, 2218, 2227, 2232, 2236, 2265, 2275, 2325, 2326, 2352, 2356, 2362, 2373, 2401, 2409, 2434, 2461, 2500, 2515, 2541, 2565, 2578, 2605, 2614, 2616, 2625, 2640, 2679, 2722, 2751, 2760, 2785, 2826, 2839, 2872, 2902, 2911, 2924, 2958, 2960, 2965, 2974, 3036, 3042, 3046, 3048, 3091, 3138, 3164, 3172, 3226, 3246, 3268, 3285, 3339, 3344, 3345, 3381, 3390, 3393, 3442, 3474, 3476, 3484, 3505, 3552, 3556, 3592, 3595, 3615, 3618, 3622, 3625, 3630, 3649, 3694, 3712, 3736, 3792, 3802, 3836, 3850, 3865, 3892, 3912, 3920, 3930, 3933, 3946, 3973, 4024, 4054, 4116, 4126, 4148, 4160, 4162, 4173, 4188, 4189, 4191, 4198, 4209, 4212, 4228, 4235, 4268, 4275, 4279, 4306, 4344, 4369, 4396, 4414, 4456, 4460, 4473, 4564, 4590, 4594, 4636, 4656, 4676, 4702, 4744, 4765, 4770, 4776, 4794, 4820, 4824, 4844, 4855, 4905, 4918, 4920, 4954, 4974, 4980, 4981, 5022, 5052, 5062, 5068, 5071, 5094, 5098, 5145, 5150, 5168, 5176, 5242, 5253, 5268, 5269, 5298, 5305, 5332, 5344, 5348, 5386, 5397, 5412, 5422, 5425, 5458, 5464, 5484, 5485, 5525, 5539, 5548, 5602, 5612, 5638, 5642, 5652, 5674, 5715, 5742, 5752, 5818, 5840, 5854, 5874, 5926, 5935, 5946, 5998, 6016, 6027, 6054, 6060, 6066, 6115, 6175, 6178, 6184, 6187, 6244, 6259, 6260, 6295, 6315, 6356, 6364, 6385, 6390, 6439, 6457, 6472, 6475, 6500, 6502, 6504, 6512, 6524, 6531, 6564, 6567, 6583, 6585, 6596, 6600, 6603, 6604, 6616, 6620, 6633, 6692, 6693, 6702, 6714, 6718, 6741, 6835, 6855, 6900, 6904, 6934, 6950, 6960, 6980, 6981, 7008, 7026, 7028, 7038, 7048, 7051, 7052, 7062, 7076, 7078, 7089, 7150, 7186, 7195, 7196, 7212, 7228, 7236, 7249, 7268, 7287, 7335, 7339, 7362, 7364, 7402, 7428, 7438, 7447, 7465, 7503, 7506, 7525, 7624, 7627, 7650, 7674, 7683, 7726, 7756, 7762, 7782, 7809, 7834, 7850, 7915, 7924, 7978, 8005, 8014, 8023, 8076, 8077, 8084, 8091, 8095, 8145, 8149, 8158, 8164, 8185, 8214, 8224, 8244, 8257, 8277, 8284, 8292, 8308, 8325, 8334, 8347, 8415, 8420, 8421, 8466, 8508, 8518, 8545, 8600, 8653, 8673, 8720, 8724, 8754, 8780, 8790, 8816, 8851, 8914, 8924, 8932, 8955, 8982, 9015, 9028, 9031, 9052, 9094, 9096, 9116, 9166, 9180, 9193, 9229, 9274, 9285, 9294, 9301, 9306, 9330, 9333, 9346, 9350, 9355, 9382, 9412, 9425, 9427, 9436, 9483, 9528, 9535, 9540, 9571, 9598, 9630, 9634, 9650, 9652, 9711, 9716, 9717, 9735, 9742, 9772, 9778, 9843, 9861, 9895, 9916, 9940, 9942, 9985, 10044, 10075, 10179, 10188, 10192, 10240, 10268, 10278, 10291, 10375, 10392, 10406, 10419, 10462, 10464, 10489, 10492, 10550, 10560, 10579, 10604, 10606, 10624, 10669, 10675, 10689, 10698, 10704, 10705, 10761, 10780, 10786, 10797, 10806, 10854, 10884, 10887, 10926, 10936, 10948, 10966, 10982, 11065, 11124, 11209, 11228, 11232, 11468, 11476, 11484, 11574, 11659, 11679, 11686, 11688, 11695, 11712, 11739, 11774, 11775, 11785, 11857, 11908, 11913, 11944, 11965, 12055, 12068, 12091, 12144, 12188, 12192, 12195, 12226, 12256, 12262, 12318, 12366, 12388, 12406, 12442, 12464, 12532, 12546, 12552, 12556, 12558, 12612, 12622, 12650, 12658, 12664, 12667, 12775, 12780, 12795, 12796, 12825, 12828, 12847, 12880, 12908, 12932, 12937, 12939, 12946, 12952, 12955.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 3183722 values, from 22 to 99999706).

n\r 0  1 
219487691234953 2 
312330091329241621472 3 
41129882621021818887613932 4 
5750173606093612876604463610117 5 
6647456507113479185585553822128142287 6 
7470992452351451693452593451898452433451762 7 
8391426310883410090307432738456310138408797306500 8 
9405665242918213014290956880136192067536388206187216391 9 
10352804204470392520208801406160397369401623220356395662203957 10 
11282880288848289077290998290672289681290145291525290357289508290031

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.