A182698 a(n) is the largest 5-digit number with exactly n divisors, or a(n) = 0 if no such number exists.

0, 99991, 97969, 99998, 83521, 99997, 15625, 99995, 98596, 99952, 59049, 99999, 0, 99873, 99856, 99992, 65536, 99972, 0, 99984, 88209, 99328, 0, 99996, 50625, 94208, 96100, 99904, 0, 99568, 0, 99968, 50176, 0, 40000, 99936, 0, 0, 36864, 99760, 0, 99648, 0

Offset

1,2

Links

Jinyuan Wang, Table of n, a(n) for n = 1..128

Formula

A000005(a(n)) = n for a(n) > 0.

128 = max n such that a(n) > 0, a(n) = 0 for n > 128.

a(n) >= A182697(n).

Mathematica

With[{nd=Table[{n, DivisorSigma[0, n]}, {n, 99999, 10000, -1}]}, Table[ SelectFirst[ nd, #[[2]]==k&], {k, 50}]][[All, 1]]/."NotFound"->0 (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Mar 13 2018 *)

Crossrefs

Cf. A182697.

Sequence in context: A032428 A370795 A204523 * A033427 A027663 A168652

Adjacent sequences: A182695 A182696 A182697 * A182699 A182700 A182701

Keyword

nonn,base

Author

Jaroslav Krizek, Nov 27 2010

Status

approved