A326061 Sum of all other divisors of n except the largest proper divisor. a(1) = 0 by convention.

0, 2, 3, 5, 5, 9, 7, 11, 10, 13, 11, 22, 13, 17, 19, 23, 17, 30, 19, 32, 25, 25, 23, 48, 26, 29, 31, 42, 29, 57, 31, 47, 37, 37, 41, 73, 37, 41, 43, 70, 41, 75, 43, 62, 63, 49, 47, 100, 50, 68, 55, 72, 53, 93, 61, 92, 61, 61, 59, 138, 61, 65, 83, 95, 71, 111, 67, 92, 73, 109, 71, 159, 73, 77, 99, 102, 85, 129, 79, 146, 94, 85, 83

Offset: 1

Author

Antti Karttunen, Jun 06 2019

Keywords

• nonn

Links

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

Crossrefs

Cf. A000203, A032742, A318505, A326062.

Cf. also A326053.

Programs

PARI

A032742(n) = if(1==n,n,n/vecmin(factor(n)[,1]));
A326061(n) = (sigma(n)-A032742(n));

Formula

a(n) = A000203(n) - A032742(n).

For n > 1, a(n) = n + A318505(n).