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

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).

Sequence in context: A210760 A164968 A165296 * A101442 A173029 A256838

Adjacent sequences: A182694 A182695 A182696 * A182698 A182699 A182700

Keyword

nonn,base

Author

Jaroslav Krizek, Nov 27 2010

Extensions

Corrected by Harvey P. Dale, Oct 17 2012

Status

approved