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Divisors of 3^36 - 1.
1

%I #19 Sep 08 2022 08:46:08

%S 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,

%T 80,91,95,104,112,130,133,140,146,148,152,182,185,190,208,247,259,260,

%U 266,280,292,296,304,364,365,370,380,455,481,494,511,518,520

%N Divisors of 3^36 - 1.

%C 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).

%H Bruno Berselli, <a href="/A245029/b245029.txt">Table of n, a(n) for n = 1..1280</a>

%H <a href="/index/Di#divisors">Index entries for sequences related to divisors of numbers</a>

%e 150094635296999120 = 2^4 * 5 * 7 * 13 * 19 * 37 * 73 * 757 * 530713.

%t Divisors[3^36 - 1]

%o (PARI) divisors(3^36-1)

%o (Sage) divisors(3^36-1)

%o (Magma) Divisors(3^36-1);

%o (Maxima) divisors(3^36-1);

%Y Cf. A018614: divisors of 3^6-1.

%Y Cf. A113522: divisors of 10^18-1; A003543: divisors of 2^36-1.

%K nonn,fini,full

%O 1,2

%A _Bruno Berselli_, Jul 10 2014