A344585 Numbers whose sum of proper divisors (A001065) is greater than their arithmetic derivative (A003415).

6, 10, 14, 15, 21, 22, 26, 30, 33, 34, 35, 38, 39, 42, 46, 51, 55, 57, 58, 60, 62, 65, 66, 69, 70, 74, 77, 78, 82, 84, 85, 86, 87, 90, 91, 93, 94, 95, 102, 105, 106, 110, 111, 114, 115, 118, 119, 122, 123, 126, 129, 130, 132, 133, 134, 138, 140, 141, 142, 143, 145, 146, 150, 154, 155, 156, 158, 159, 161, 165, 166, 170

Offset: 1

Author

Antti Karttunen, May 24 2021

Keywords

• nonn

Comments

Differs from A212168 for the first time at n=100, where a(100) = 221, while A212168(100) = 220. See also comments in A211991.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000

Crossrefs

Cf. A001065, A003415, A212168, A344586 (complement).

Positions of negative terms in A211991.

Programs

PARI

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
isA344585(n) = (A003415(n) < (sigma(n)-n));