A359956 a(n) is the smallest number with exactly n divisors that are greater than or equal to 5.

5, 10, 18, 24, 30, 48, 80, 60, 90, 192, 144, 120, 210, 180, 450, 240, 560, 1600, 5120, 360, 630, 3465, 900, 960, 2240, 720, 2800, 840, 1890, 10010, 5184, 1260, 3150, 17325, 36864, 1680, 5670, 2880, 11200, 15360, 3600, 19600, 99225, 2520, 6930, 6480, 70000, 61440

Offset: 1

Author

Ilya Gutkovskiy, Jan 19 2023

Keywords

• nonn

Links

• Index entries for sequences related to divisors of numbers

Crossrefs

Cf. A005179, A338648, A359955, A359957.

Programs

Mathematica

DeleteDuplicates[SortBy[Table[{n,Count[Divisors[n],?(#>4&)]},{n,100000}],Last],GreaterEqual[ #1[[2]],#2[[2]]]&][[;;,1]] (* _Harvey P. Dale, Aug 18 2024 *)

PARI

a(n) = my(k=1); while (sumdiv(k, d, (d>=5)) != n, k++); k; \\ Michel Marcus, Jan 20 2023