A389462 - OEIS

A389462

Numbers whose sum of proper divisors (A001065) is equal to or greater than their squarefree kernel (A007947).

4, 6, 8, 9, 12, 16, 18, 20, 24, 25, 27, 28, 30, 32, 36, 40, 42, 44, 45, 48, 49, 50, 52, 54, 56, 60, 63, 64, 66, 68, 70, 72, 75, 76, 78, 80, 81, 84, 88, 90, 92, 96, 98, 99, 100, 102, 104, 108, 112, 114, 116, 117, 120, 121, 124, 125, 126, 128, 132, 135, 136, 138, 140, 144, 147, 148, 150, 152, 153, 156, 160, 162, 164

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OFFSET

1,1

COMMENTS

Numbers k for which A389460(k) > k, or equally, for which A001065(k) > A075423(k).

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000

FORMULA

{k | A001065(k) >= A007947(k)}.

MATHEMATICA

Select[Range[120], DivisorSigma[1, #] + 1 - Times @@ FactorInteger[#][[;; , 1]] > # &] (* Michael De Vlieger, Oct 07 2025 *)

PROG