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A245029
Divisors of 3^36 - 1.
1
1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 19, 20, 26, 28, 35, 37, 38, 40, 52, 56, 65, 70, 73, 74, 76, 80, 91, 95, 104, 112, 130, 133, 140, 146, 148, 152, 182, 185, 190, 208, 247, 259, 260, 266, 280, 292, 296, 304, 364, 365, 370, 380, 455, 481, 494, 511, 518, 520
OFFSET
1,2
COMMENTS
Also, divisors of 9^18-1. Number of divisors of k^18-1 for k = 2..20: 32 (2), 128 (3), 512 (4), 512 (5), 128 (6), 640 (7), 160 (8), 1280 (9), 640 (10), 1024 (11), 512 (12), 2048 (13), 1024 (14), 1536 (15), 8192 (16), 3840 (17), 512 (18), 5120 (19), 512 (20).
EXAMPLE
150094635296999120 = 2^4 * 5 * 7 * 13 * 19 * 37 * 73 * 757 * 530713.
MATHEMATICA
Divisors[3^36 - 1]
PROG
(PARI) divisors(3^36-1)
(Sage) divisors(3^36-1)
(Magma) Divisors(3^36-1);
(Maxima) divisors(3^36-1);
CROSSREFS
Cf. A018614: divisors of 3^6-1.
Cf. A113522: divisors of 10^18-1; A003543: divisors of 2^36-1.
Sequence in context: A229968 A190853 A343108 * A027902 A067076 A060686
KEYWORD
nonn,fini,full
AUTHOR
Bruno Berselli, Jul 10 2014
STATUS
approved