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A359957

a(n) is the smallest number with exactly n divisors that are greater than or equal to 6.

6, 12, 18, 24, 36, 48, 60, 72, 126, 192, 120, 168, 180, 252, 240, 336, 576, 3072, 360, 504, 1296, 900, 960, 1344, 720, 1008, 840, 1512, 4158, 27027, 1260, 2016, 9702, 63063, 1680, 3024, 2880, 4032, 15360, 3600, 7056, 94864, 2520, 5544, 6480, 9072, 61440, 86016

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..48.

Index entries for sequences related to divisors of numbers

MATHEMATICA

Table[SelectFirst[Table[{n, Count[Divisors[n], _?(#>5&)]}, {n, 100000}], #[[2]]==k&], {k, 50}] [[;; , 1]] (* Harvey P. Dale, Jan 04 2024 *)

PROG

(PARI) a(n) = my(k=1); while (sumdiv(k, d, (d>=6)) != n, k++); k; \\ Michel Marcus, Jan 20 2023

CROSSREFS

Cf. A005179, A338649, A359955, A359956.