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uban numbers
A number whose name in English does not contain the letter "u". more

The first 600 uban numbers :
1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 1000000, 1000001, 1000002, 1000003, 1000005, 1000006, 1000007, 1000008, 1000009, 1000010, 1000011, 1000012, 1000013, 1000015, 1000016, 1000017, 1000018, 1000019, 1000020, 1000021, 1000022, 1000023, 1000025, 1000026, 1000027, 1000028, 1000029, 1000030, 1000031, 1000032, 1000033, 1000035, 1000036, 1000037, 1000038, 1000039, 1000040, 1000041, 1000042, 1000043, 1000045, 1000046, 1000047, 1000048, 1000049, 1000050, 1000051, 1000052, 1000053, 1000055, 1000056, 1000057, 1000058, 1000059, 1000060, 1000061, 1000062, 1000063, 1000065, 1000066, 1000067, 1000068, 1000069, 1000070, 1000071, 1000072, 1000073, 1000075, 1000076, 1000077, 1000078, 1000079, 1000080, 1000081, 1000082, 1000083, 1000085, 1000086, 1000087, 1000088, 1000089, 1000090, 1000091, 1000092, 1000093, 1000095, 1000096, 1000097, 1000098, 1000099, 2000000, 2000001, 2000002, 2000003, 2000005, 2000006, 2000007, 2000008, 2000009, 2000010, 2000011, 2000012, 2000013, 2000015, 2000016, 2000017, 2000018, 2000019, 2000020, 2000021, 2000022, 2000023, 2000025, 2000026, 2000027, 2000028, 2000029, 2000030, 2000031, 2000032, 2000033, 2000035, 2000036, 2000037, 2000038, 2000039, 2000040, 2000041, 2000042, 2000043, 2000045, 2000046, 2000047, 2000048, 2000049, 2000050, 2000051, 2000052, 2000053, 2000055, 2000056, 2000057, 2000058, 2000059, 2000060, 2000061, 2000062, 2000063, 2000065, 2000066, 2000067, 2000068, 2000069, 2000070, 2000071, 2000072, 2000073, 2000075, 2000076, 2000077, 2000078, 2000079, 2000080, 2000081, 2000082, 2000083, 2000085, 2000086, 2000087, 2000088, 2000089, 2000090, 2000091, 2000092, 2000093, 2000095, 2000096, 2000097, 2000098, 2000099, 3000000, 3000001, 3000002, 3000003, 3000005, 3000006, 3000007, 3000008, 3000009, 3000010, 3000011, 3000012, 3000013, 3000015, 3000016, 3000017, 3000018, 3000019, 3000020, 3000021, 3000022, 3000023, 3000025, 3000026, 3000027, 3000028, 3000029, 3000030, 3000031, 3000032, 3000033, 3000035, 3000036, 3000037, 3000038, 3000039, 3000040, 3000041, 3000042, 3000043, 3000045, 3000046, 3000047, 3000048, 3000049, 3000050, 3000051, 3000052, 3000053, 3000055, 3000056, 3000057, 3000058, 3000059, 3000060, 3000061, 3000062, 3000063, 3000065, 3000066, 3000067, 3000068, 3000069, 3000070, 3000071, 3000072, 3000073, 3000075, 3000076, 3000077, 3000078, 3000079, 3000080, 3000081, 3000082, 3000083, 3000085, 3000086, 3000087, 3000088, 3000089, 3000090, 3000091, 3000092, 3000093, 3000095, 3000096, 3000097, 3000098, 3000099, 5000000, 5000001, 5000002, 5000003, 5000005, 5000006, 5000007, 5000008, 5000009, 5000010, 5000011, 5000012, 5000013, 5000015, 5000016, 5000017, 5000018, 5000019, 5000020, 5000021, 5000022, 5000023, 5000025, 5000026, 5000027, 5000028, 5000029, 5000030, 5000031, 5000032, 5000033, 5000035, 5000036, 5000037, 5000038, 5000039, 5000040, 5000041, 5000042, 5000043, 5000045, 5000046, 5000047, 5000048, 5000049, 5000050, 5000051, 5000052, 5000053, 5000055, 5000056, 5000057, 5000058, 5000059, 5000060, 5000061, 5000062, 5000063, 5000065, 5000066, 5000067, 5000068, 5000069, 5000070, 5000071, 5000072, 5000073, 5000075, 5000076, 5000077, 5000078, 5000079, 5000080, 5000081, 5000082, 5000083, 5000085, 5000086, 5000087, 5000088, 5000089, 5000090, 5000091, 5000092, 5000093, 5000095, 5000096, 5000097, 5000098, 5000099, 6000000, 6000001, 6000002, 6000003, 6000005, 6000006, 6000007, 6000008, 6000009, 6000010, 6000011, 6000012, 6000013, 6000015, 6000016, 6000017, 6000018, 6000019, 6000020, 6000021, 6000022, 6000023, 6000025, 6000026, 6000027, 6000028, 6000029, 6000030, 6000031, 6000032, 6000033, 6000035, 6000036, 6000037, 6000038, 6000039, 6000040, 6000041, 6000042, 6000043, 6000045, 6000046, 6000047, 6000048, 6000049, 6000050, 6000051, 6000052, 6000053, 6000055, 6000056, 6000057, 6000058, 6000059, 6000060, 6000061, 6000062, 6000063, 6000065, 6000066, 6000067, 6000068, 6000069, 6000070, 6000071, 6000072, 6000073, 6000075, 6000076, 6000077, 6000078, 6000079, 6000080, 6000081, 6000082, 6000083, 6000085, 6000086, 6000087, 6000088, 6000089, 6000090, 6000091, 6000092, 6000093, 6000095, 6000096, 6000097, 6000098, 6000099, 7000000, 7000001, 7000002, 7000003, 7000005, 7000006, 7000007, 7000008, 7000009, 7000010, 7000011, 7000012, 7000013, 7000015, 7000016, 7000017, 7000018, 7000019, 7000020, 7000021, 7000022, 7000023, 7000025, 7000026, 7000027, 7000028, 7000029, 7000030, 7000031, 7000032, 7000033, 7000035, 7000036, 7000037, 7000038, 7000039, 7000040, 7000041, 7000042, 7000043, 7000045, 7000046, 7000047, 7000048, 7000049, 7000050, 7000051, 7000052, 7000053, 7000055, 7000056, 7000057, 7000058, 7000059, 7000060, 7000061, 7000062, 7000063, 7000065, 7000066, 7000067.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 65610000 values, from 1 to 1000000000000000).

n\r 0  1 
22916000036450000 2 
3218699962186999821870006 3 
414580000182250001458000018225000 4 
5145800001458000014580000145800007290000 5 
6971999312149997972000612150003972000112150000 6 
79372867937286693728629372854937284493728469372861 7 
880190009477000801900094770006561000874800065610008748000 8 
9729000072900017290000728999672899967290000729000072900017290006 9 
107290000729000072900007290000072900007290000729000072900007290000 10 
1159645475964544596454459645445964545596455059645455964544596454459645445964549

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.