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A182697

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

0, 10007, 10201, 10001, 14641, 10012, 15625, 10002, 11236, 10096, 59049, 10004, 0, 10048, 13456, 10005, 65536, 10092, 0, 10064, 10816, 11264, 0, 10008, 10000, 12288, 10404, 10176, 0, 10044, 0, 10010, 25600, 0, 11664, 10140, 0, 0, 36864, 10032, 0, 10944, 0, 15360

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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.

MATHEMATICA

Flatten[If[#=={}, 0, #]&/@Table[Select[Range[10000, 99999], DivisorSigma[0, #]==n&, 1], {n, 30}]] (* Harvey P. Dale, Oct 17 2012 *)

CROSSREFS

Cf. A182698 (the largest 5-digit number with exactly n divisors).