A359957 - OEIS

%I #9 Jan 04 2024 14:01:44

%S 6,12,18,24,36,48,60,72,126,192,120,168,180,252,240,336,576,3072,360,

%T 504,1296,900,960,1344,720,1008,840,1512,4158,27027,1260,2016,9702,

%U 63063,1680,3024,2880,4032,15360,3600,7056,94864,2520,5544,6480,9072,61440,86016

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

%H <a href="/index/Di#divisors">Index entries for sequences related to divisors of numbers</a>

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

%o (PARI) a(n) = my(k=1); while (sumdiv(k, d, (d>=6)) != n, k++); k; \\ _Michel Marcus_, Jan 20 2023

%Y Cf. A005179, A338649, A359955, A359956.

%K nonn

%O 1,1

%A _Ilya Gutkovskiy_, Jan 19 2023