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An integer is a number that can be written without a fractional component. Dozenal uses a dozen (twelve) integers as digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E.

List of integers up to 1000[]

1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1X, 1E, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 2X, 2E, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 3X, 3E, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 4X, 4E, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 5X, 5E, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 6X, 6E, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 7X, 7E, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 8X, 8E, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 9X, 9E, X0, X1, X2, X3, X4, X5, X6, X7, X8, X9, XX, XE, E0, E1, E2, E3, E4, E5, E6, E7, E8, E9, EX, EE, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 10X, 10E, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 11X, 11E, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 12X, 12E, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 13X, 13E, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 14X, 14E, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 15X, 15E, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 16X, 16E, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 17X, 17E, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 18X, 18E, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 19X, 19E, 1X0, 1X1, 1X2, 1X3, 1X4, 1X5, 1X6, 1X7, 1X8, 1X9, 1XX, 1XE, 1E0, 1E1, 1E2, 1E3, 1E4, 1E5, 1E6, 1E7, 1E8, 1E9, 1EX, 1EE, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 20X, 20E, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 21X, 21E, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 22X, 22E, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 23X, 23E, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 24X, 24E, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 25X, 25E, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 26X, 26E, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 27X, 27E, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 28X, 28E, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 29X, 29E, 2X0, 2X1, 2X2, 2X3, 2X4, 2X5, 2X6, 2X7, 2X8, 2X9, 2XX, 2XE, 2E0, 2E1, 2E2, 2E3, 2E4, 2E5, 2E6, 2E7, 2E8, 2E9, 2EX, 2EE, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 30X, 30E, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 31X, 31E, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 32X, 32E, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 33X, 33E, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 34X, 34E, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 35X, 35E, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 36X, 36E, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 37X, 37E, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 38X, 38E, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 39X, 39E, 3X0, 3X1, 3X2, 3X3, 3X4, 3X5, 3X6, 3X7, 3X8, 3X9, 3XX, 3XE, 3E0, 3E1, 3E2, 3E3, 3E4, 3E5, 3E6, 3E7, 3E8, 3E9, 3EX, 3EE, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 40X, 40E, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 41X, 41E, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 42X, 42E, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 43X, 43E, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 44X, 44E, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 45X, 45E, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 46X, 46E, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 47X, 47E, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 48X, 48E, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 49X, 49E, 4X0, 4X1, 4X2, 4X3, 4X4, 4X5, 4X6, 4X7, 4X8, 4X9, 4XX, 4XE, 4E0, 4E1, 4E2, 4E3, 4E4, 4E5, 4E6, 4E7, 4E8, 4E9, 4EX, 4EE, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 50X, 50E, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 51X, 51E, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 52X, 52E, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 53X, 53E, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 54X, 54E, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 55X, 55E, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 56X, 56E, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 57X, 57E, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 58X, 58E, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 59X, 59E, 5X0, 5X1, 5X2, 5X3, 5X4, 5X5, 5X6, 5X7, 5X8, 5X9, 5XX, 5XE, 5E0, 5E1, 5E2, 5E3, 5E4, 5E5, 5E6, 5E7, 5E8, 5E9, 5EX, 5EE, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 60X, 60E, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 61X, 61E, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 62X, 62E, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 63X, 63E, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 64X, 64E, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 65X, 65E, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 66X, 66E, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 67X, 67E, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 68X, 68E, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 69X, 69E, 6X0, 6X1, 6X2, 6X3, 6X4, 6X5, 6X6, 6X7, 6X8, 6X9, 6XX, 6XE, 6E0, 6E1, 6E2, 6E3, 6E4, 6E5, 6E6, 6E7, 6E8, 6E9, 6EX, 6EE, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 70X, 70E, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 71X, 71E, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 72X, 72E, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 73X, 73E, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 74X, 74E, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 75X, 75E, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 76X, 76E, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 77X, 77E, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 78X, 78E, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 79X, 79E, 7X0, 7X1, 7X2, 7X3, 7X4, 7X5, 7X6, 7X7, 7X8, 7X9, 7XX, 7XE, 7E0, 7E1, 7E2, 7E3, 7E4, 7E5, 7E6, 7E7, 7E8, 7E9, 7EX, 7EE, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 80X, 80E, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 81X, 81E, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 82X, 82E, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 83X, 83E, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 84X, 84E, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 85X, 85E, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 86X, 86E, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 87X, 87E, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 88X, 88E, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 89X, 89E, 8X0, 8X1, 8X2, 8X3, 8X4, 8X5, 8X6, 8X7, 8X8, 8X9, 8XX, 8XE, 8E0, 8E1, 8E2, 8E3, 8E4, 8E5, 8E6, 8E7, 8E8, 8E9, 8EX, 8EE, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 90X, 90E, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 91X, 91E, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 92X, 92E, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 93X, 93E, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 94X, 94E, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 95X, 95E, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 96X, 96E, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 97X, 97E, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 98X, 98E, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 99X, 99E, 9X0, 9X1, 9X2, 9X3, 9X4, 9X5, 9X6, 9X7, 9X8, 9X9, 9XX, 9XE, 9E0, 9E1, 9E2, 9E3, 9E4, 9E5, 9E6, 9E7, 9E8, 9E9, 9EX, 9EE, X00, X01, X02, X03, X04, X05, X06, X07, X08, X09, X0X, X0E, X10, X11, X12, X13, X14, X15, X16, X17, X18, X19, X1X, X1E, X20, X21, X22, X23, X24, X25, X26, X27, X28, X29, X2X, X2E, X30, X31, X32, X33, X34, X35, X36, X37, X38, X39, X3X, X3E, X40, X41, X42, X43, X44, X45, X46, X47, X48, X49, X4X, X4E, X50, X51, X52, X53, X54, X55, X56, X57, X58, X59, X5X, X5E, X60, X61, X62, X63, X64, X65, X66, X67, X68, X69, X6X, X6E, X70, X71, X72, X73, X74, X75, X76, X77, X78, X79, X7X, X7E, X80, X81, X82, X83, X84, X85, X86, X87, X88, X89, X8X, X8E, X90, X91, X92, X93, X94, X95, X96, X97, X98, X99, X9X, X9E, XX0, XX1, XX2, XX3, XX4, XX5, XX6, XX7, XX8, XX9, XXX, XXE, XE0, XE1, XE2, XE3, XE4, XE5, XE6, XE7, XE8, XE9, XEX, XEE, E00, E01, E02, E03, E04, E05, E06, E07, E08, E09, E0X, E0E, E10, E11, E12, E13, E14, E15, E16, E17, E18, E19, E1X, E1E, E20, E21, E22, E23, E24, E25, E26, E27, E28, E29, E2X, E2E, E30, E31, E32, E33, E34, E35, E36, E37, E38, E39, E3X, E3E, E40, E41, E42, E43, E44, E45, E46, E47, E48, E49, E4X, E4E, E50, E51, E52, E53, E54, E55, E56, E57, E58, E59, E5X, E5E, E60, E61, E62, E63, E64, E65, E66, E67, E68, E69, E6X, E6E, E70, E71, E72, E73, E74, E75, E76, E77, E78, E79, E7X, E7E, E80, E81, E82, E83, E84, E85, E86, E87, E88, E89, E8X, E8E, E90, E91, E92, E93, E94, E95, E96, E97, E98, E99, E9X, E9E, EX0, EX1, EX2, EX3, EX4, EX5, EX6, EX7, EX8, EX9, EXX, EXE, EE0, EE1, EE2, EE3, EE4, EE5, EE6, EE7, EE8, EE9, EEX, EEE, 1000

List of integers up to -1000[]

-1, -2, -3, -4, -5, -6, -7, -8, -9, -X, -E, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -1X, -1E, -20, -21, -22, -23, -24, -25, -26, -27, -28, -29, -2X, -2E, -30, -31, -32, -33, -34, -35, -36, -37, -38, -39, -3X, -3E, -40, -41, -42, -43, -44, -45, -46, -47, -48, -49, -4X, -4E, -50, -51, -52, -53, -54, -55, -56, -57, -58, -59, -5X, -5E, -60, -61, -62, -63, -64, -65, -66, -67, -68, -69, -6X, -6E, -70, -71, -72, -73, -74, -75, -76, -77, -78, -79, -7X, -7E, -80, -81, -82, -83, -84, -85, -86, -87, -88, -89, -8X, -8E, -90, -91, -92, -93, -94, -95, -96, -97, -98, -99, -9X, -9E, -X0, -X1, -X2, -X3, -X4, -X5, -X6, -X7, -X8, -X9, -XX, -XE, -E0, -E1, -E2, -E3, -E4, -E5, -E6, -E7, -E8, -E9, -EX, -EE, -100

Generating code[]

Python (disclaimer-typed numbers are in decimal)[]

limit=12**3 #upper bound
digits=['0','1','2','3','4','5','6','7','8','9','X','E']
def find(num:int)-> str:
  if num<12:
    return str(digits[num])
  return find(num//12)+str(digits[num%12])
print(", ".join([find(num) for num in range(1,limit+1)]))