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A182696 a(n) = the largest 4-digit number with exactly n divisors, a(n) = 0 if no such number exists. 1
0, 9973, 9409, 9998, 2401, 9981, 0, 9994, 9025, 9904, 1024, 9999, 4096, 9664, 9801, 9982, 0, 9972, 0, 9968, 7744, 7168, 0, 9975, 1296, 0, 6400, 9920, 0, 9680, 0, 9990, 9216, 0, 5184, 9996, 0, 0, 0, 9936, 0, 9792, 0, 0, 8100, 0, 0, 9828, 0, 9072, 0, 0, 0, 9900, 0, 8640, 0, 0, 0, 9360, 0, 0, 0, 9240 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Among all 4-digit numbers, 64 is the maximum number of divisors, so a(64) is the last nonzero term.

LINKS

Table of n, a(n) for n=1..64.

FORMULA

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

MATHEMATICA

tbl=Table[{n, DivisorSigma[0, n]}, {n, 1000, 9999}];

Table[Max[Transpose[Select[tbl, #[[2]]==x&]][[1]]], {x, 70}]/.-\[Infinity]->0//Quiet (* Harvey P. Dale, Dec 02 2010 *)

CROSSREFS

Cf. A182695.

Sequence in context: A266917 A031858 A254975 * A126978 A188790 A190832

Adjacent sequences:  A182693 A182694 A182695 * A182697 A182698 A182699

KEYWORD

nonn,base,fini,full

AUTHOR

Jaroslav Krizek, Nov 27 2010

EXTENSIONS

Edited by Jon E. Schoenfield, Mar 11 2014

STATUS

approved

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Last modified August 9 22:42 EDT 2020. Contains 336335 sequences. (Running on oeis4.)