A003543 Divisors of 2^36 - 1.

1, 3, 5, 7, 9, 13, 15, 19, 21, 27, 35, 37, 39, 45, 57, 63, 65, 73, 91, 95, 105, 109, 111, 117, 133, 135, 171, 185, 189, 195, 219, 247, 259, 273, 285, 315, 327, 333, 351, 365, 399, 455, 481, 511, 513, 545, 555, 585, 657, 665, 703, 741, 763, 777, 819, 855, 945, 949

Offset

1,2

Comments

Number of divisors is 512.

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

Links

T. D. Noe, Table of n, a(n) for n = 1..512 (all divisors)

Paul Barry, Series reversion with Jacobi and Thron continued fractions, arXiv:2107.14278 [math.NT], 2021.

Index entries for sequences related to divisors of numbers

Mathematica

Divisors[2^36-1] (* Harvey P. Dale, Jun 20 2015 *)

Prog

(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 */

Crossrefs

Sequence in context: A270807 A157048 A190857 * A114513 A191186 A174572

Adjacent sequences: A003540 A003541 A003542 * A003544 A003545 A003546

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved