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arithmetic numbers
A number n such that the arithmetic mean of its divisors is an integer number. more

The first 600 arithmetic numbers :
1, 3, 5, 6, 7, 11, 13, 14, 15, 17, 19, 20, 21, 22, 23, 27, 29, 30, 31, 33, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 49, 51, 53, 54, 55, 56, 57, 59, 60, 61, 62, 65, 66, 67, 68, 69, 70, 71, 73, 77, 78, 79, 83, 85, 86, 87, 89, 91, 92, 93, 94, 95, 96, 97, 99, 101, 102, 103, 105, 107, 109, 110, 111, 113, 114, 115, 116, 118, 119, 123, 125, 126, 127, 129, 131, 132, 133, 134, 135, 137, 138, 139, 140, 141, 142, 143, 145, 147, 149, 150, 151, 153, 154, 155, 157, 158, 159, 161, 163, 164, 165, 166, 167, 168, 169, 173, 174, 177, 179, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 193, 195, 197, 198, 199, 201, 203, 204, 205, 206, 207, 209, 210, 211, 212, 213, 214, 215, 217, 219, 220, 221, 222, 223, 224, 227, 229, 230, 231, 233, 235, 236, 237, 238, 239, 241, 245, 246, 247, 248, 249, 251, 253, 254, 255, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 269, 270, 271, 273, 275, 276, 277, 278, 280, 281, 282, 283, 284, 285, 286, 287, 291, 293, 294, 295, 297, 299, 301, 302, 303, 304, 305, 307, 308, 309, 310, 311, 313, 315, 317, 318, 319, 321, 322, 323, 326, 327, 329, 330, 331, 332, 334, 335, 337, 339, 340, 341, 342, 343, 345, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 361, 365, 366, 367, 369, 371, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 385, 389, 390, 391, 393, 395, 397, 398, 399, 401, 402, 403, 404, 406, 407, 409, 411, 413, 414, 415, 417, 418, 419, 420, 421, 422, 423, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 437, 438, 439, 443, 445, 446, 447, 449, 451, 452, 453, 454, 455, 456, 457, 459, 460, 461, 462, 463, 464, 465, 467, 469, 470, 471, 473, 474, 476, 477, 478, 479, 480, 481, 483, 485, 486, 487, 489, 491, 492, 493, 494, 495, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 509, 510, 511, 513, 515, 517, 518, 519, 521, 523, 524, 526, 527, 531, 533, 534, 535, 537, 539, 540, 541, 542, 543, 545, 546, 547, 548, 550, 551, 552, 553, 555, 557, 558, 559, 561, 563, 564, 565, 566, 568, 569, 570, 571, 572, 573, 574, 575, 577, 579, 580, 581, 582, 583, 585, 587, 589, 590, 591, 593, 594, 595, 596, 597, 598, 599, 601, 602, 605, 606, 607, 608, 609, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 627, 629, 630, 631, 632, 633, 635, 636, 637, 638, 639, 641, 642, 643, 644, 645, 646, 647, 649, 651, 653, 654, 655, 658, 659, 660, 661, 662, 663, 665, 667, 668, 669, 670, 671, 672, 673, 677, 678, 679, 681, 682, 683, 685, 686, 687, 689, 690, 691, 692, 693, 694, 695, 697, 699, 701, 702, 703, 705, 707, 708, 709, 710, 713, 714, 715, 716, 717, 718, 719, 721, 723, 725, 726, 727, 728, 731, 733, 734, 735, 736, 737, 739, 740, 741, 742, 743, 744, 745, 747, 748, 749, 750, 751, 753, 755, 757, 758, 759, 761, 762, 763, 764, 765, 766, 767, 769, 770, 771, 773, 774, 777, 779, 780, 781, 782, 783, 785, 786, 787, 788, 789, 790, 791, 793, 795, 797, 798, 799, 801, 803, 805, 806, 807, 809, 811, 812, 813, 814, 815, 817, 820, 821, 822, 823, 824, 825, 826, 827.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 8262497 values, from 1 to 9999999).

n\r 0  1 
234787404783757 2 
3276133826274372873722 3 
41489521239183419892192391923 4 
516502411644771165266316500051664817 5 
6125474416132301209789150659410142071663933 6 
71268785116453911656411164854116588111650461167751 7 
861809011958617507441195904871431119597312384751196019 8 
97468128758029574149644538757999577141050073875836958594 9 
10719257961668690072962896699199930984683103962591687109965618 10 
11827054743342743576743543743541743503743625743566743554743533743660

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.