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

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.

Sequence in context: A344471 A120942 A147306 * A031478 A073455 A279894

Adjacent sequences: A359954 A359955 A359956 * A359958 A359959 A359960

Keyword

nonn

Author

Ilya Gutkovskiy, Jan 19 2023

Status

approved