A007138 -id:A007138 - cp's OEIS frontend

A106305 Divisors of 10^14 - 1.

1, 3, 9, 11, 33, 99, 239, 717, 2151, 2629, 4649, 7887, 13947, 23661, 41841, 51139, 153417, 460251, 909091, 1111111, 2727273, 3333333, 8181819, 9999999, 10000001, 12222221, 30000003, 36666663, 90000009, 109999989, 217272749, 651818247

Offset: 1

Douglas Winston (douglas.winston(AT)srupc.com), Oct 12 2005

Nathaniel Johnston, Table of n, a(n) for n = 1..48 (full sequence)
Index entries for sequences related to divisors of numbers

Cf. A018282, A018766, A027894, A027893, A027892, A027891, A027890, A027889, A027895, A027896, A027897, A109933, A001270, A007138, A046107, A112505.

Divisors[10^14 - 1] (* Harvey P. Dale, Feb 01 2015 *)

divisors(10^14-1) \\ Charles R Greathouse IV, Jun 21 2017

10^14 - 1 = 3^2 * 11 * 239 * 4649 * 909091 = 99999999999999. - Alonso del Arte, Nov 09 2017

A109933 Divisors of 10^13 - 1.

Original entry on oeis.org

1, 3, 9, 53, 79, 159, 237, 477, 711, 4187, 12561, 37683, 265371653, 796114959, 2388344877, 14064697609, 20964360587, 42194092827, 62893081761, 126582278481, 188679245283, 1111111111111, 3333333333333, 9999999999999

Offset: 1

Douglas Winston (douglas.winston(AT)srupc.com), Oct 11 2005

Index entries for sequences related to divisors of numbers

Cf. A018282, A018766, A027894, A027893, A027892, A027891, A027890, A027889, A027895, A027896, A027897, A001270, A007138, A046107.

Divisors[10^13 - 1] (* Wesley Ivan Hurt, Feb 14 2014 *)

divisors(10^13-1) \\ Charles R Greathouse IV, Jun 21 2017

A111117 Divisors of 10^15 - 1.

Original entry on oeis.org

1, 3, 9, 27, 31, 37, 41, 93, 111, 123, 271, 279, 333, 369, 813, 837, 999, 1107, 1147, 1271, 1517, 2439, 3441, 3813, 4551, 7317, 8401, 10027, 10323, 11111, 11439, 13653, 25203, 30081, 30969, 33333, 34317, 40959, 47027, 75609, 90243, 99999, 141081

Offset: 1

Douglas Winston (douglas.winston(AT)srupc.com), Oct 15 2005

Harry J. Smith, Table of n, a(n) for n = 1..128
Index entries for sequences related to divisors of numbers

Cf. A018282, A018766, A027894, A027893, A027892, A027891, A027890, A027889, A027895, A027896, A027897, A109933, A106305, A001270, A007138, A046107, A112505.

Divisors[10^15-1] (* Harvey P. Dale, Jul 22 2014 *)

{ divisors(10^15-1) } \\ Harry J. Smith, Mar 08 2009

A111211 Divisors of 10^16 - 1.

Original entry on oeis.org

1, 3, 9, 11, 17, 33, 51, 73, 99, 101, 137, 153, 187, 219, 303, 411, 561, 657, 803, 909, 1111, 1233, 1241, 1507, 1683, 1717, 2329, 2409, 3333, 3723, 4521, 5151, 6987, 7227, 7373, 9999, 10001, 11169, 13563, 13651, 13837, 15453, 18887, 20961, 22119, 25619

Offset: 1

Douglas Winston (douglas.winston(AT)srupc.com), Oct 25 2005

Nathaniel Johnston, Table of n, a(n) for n = 1..192 (full sequence)
Index entries for sequences related to divisors of numbers

Cf. A018282, A018766, A027894, A027893, A027892, A027891, A027890, A027889, A027895, A027896, A027897, A109933, A106305, A111117, A001270, A007138, A046107, A112505.

Divisors[10^16-1] (* Harvey P. Dale, Aug 30 2014 *)

divisors(10^16-1) \\ Charles R Greathouse IV, Jun 21 2017

A113522 Divisors of 10^18 - 1.

Original entry on oeis.org

1, 3, 7, 9, 11, 13, 19, 21, 27, 33, 37, 39, 57, 63, 77, 81, 91, 99, 111, 117, 133, 143, 171, 189, 209, 231, 247, 259, 273, 297, 333, 351, 399, 407, 429, 481, 513, 567, 627, 693, 703, 741, 777, 819, 891, 999, 1001, 1053, 1197, 1221, 1287, 1443, 1463, 1539, 1729

Offset: 1

Douglas Winston (douglas.winston(AT)srupc.com), Jan 12 2006

Nathaniel Johnston, Table of n, a(n) for n = 1..640 (full sequence)
Index entries for sequences related to divisors of numbers

Cf. A018282, A018766, A027894, A027893, A027892, A027891, A027890, A027889, A027895, A027896, A027897, A109933, A106305, A111117, A111211, A113116, A001270, A007138, A046107, A112505.

Divisors[10^18 - 1][[;;100]] (* Paolo Xausa, Jul 31 2024 *)

divisors(10^18-1) \\ Charles R Greathouse IV, Jun 21 2017

A113116 Divisors of 10^17 - 1.

Original entry on oeis.org

1, 3, 9, 2071723, 6215169, 18645507, 5363222357, 16089667071, 48269001213, 11111111111111111, 33333333333333333, 99999999999999999

Offset: 1

Douglas Winston (douglas.winston(AT)srupc.com), Jan 02 2006

Index entries for sequences related to divisors of numbers

Cf. A018282, A018766, A027894, A027893, A027892, A027891, A027890, A027889, A027895, A027896, A027897, A109933, A106305, A111117, A111211, A001270, A007138, A046107, A112505.

Divisors[10^17-1] (* Harvey P. Dale, Jan 20 2013 *)

divisors(10^17-1) \\ Charles R Greathouse IV, Jun 21 2017

A338792 a(n) is the least number k such that 1/prime(k) has repeating decimal expansion of period n.

Original entry on oeis.org

1, 2, 5, 12, 26, 13, 4, 52, 21, 28693, 1128, 2431, 1221, 16, 71954, 11, 7, 153888, 8, 27417323062119920, 496, 14, 9, 223378173194137397198, 5760923, 2403, 149, 134, 10, 452, 47, 406, 71, 19, 27, 20, 37607875619, 150886, 22544062111497849

Offset: 0

Ilya Gutkovskiy, Nov 09 2020

			1/prime(1)  = 1/2  = 0.5 (finite decimal expansion).
1/prime(2)  = 1/3  = 0.3(3)... (period 1).
1/prime(5)  = 1/11 = 0.09(09)... (period 2).
1/prime(12) = 1/37 = 0.027(027)... (period 3).

Index entries for sequences related to decimal expansion of 1/n

Cf. A000720, A002371, A003060, A007138.

a(0) = 1; a(n) = A000720(A007138(n)).

a(19)-a(38) from Daniel Suteu, Nov 09 2020 [using data from A007138 and A234317]

cp's OEIS Frontend

A106305 Divisors of 10^14 - 1.

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A109933 Divisors of 10^13 - 1.

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A111117 Divisors of 10^15 - 1.

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A111211 Divisors of 10^16 - 1.

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A113522 Divisors of 10^18 - 1.

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A113116 Divisors of 10^17 - 1.

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A338792 a(n) is the least number k such that 1/prime(k) has repeating decimal expansion of period n.

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