A003543 - OEIS

%I #31 Jul 19 2024 03:15:00

%S 1,3,5,7,9,13,15,19,21,27,35,37,39,45,57,63,65,73,91,95,105,109,111,

%T 117,133,135,171,185,189,195,219,247,259,273,285,315,327,333,351,365,

%U 399,455,481,511,513,545,555,585,657,665,703,741,763,777,819,855,945,949

%N Divisors of 2^36 - 1.

%C Number of divisors is 512.

%C 2^36 - 1 is the largest unsigned integer in a 36-bit word.

%H T. D. Noe, <a href="/A003543/b003543.txt">Table of n, a(n) for n = 1..512</a> (all divisors)

%H Paul Barry, <a href="https://arxiv.org/abs/2107.14278">Series reversion with Jacobi and Thron continued fractions</a>, arXiv:2107.14278 [math.NT], 2021.

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

%t Divisors[2^36-1] (* _Harvey P. Dale_, Jun 20 2015 *)

%o (PARI) {a(n)=local(x, d, N); if(n<1||n>512, 0, N=2^36-1; d=1; while(n>0, if(N%d==0, n--; x=d); d++); x)} /* _Michael Somos_, Feb 17 2006 */

%K nonn,fini,full,easy

%O 1,2

%A _N. J. A. Sloane_