A073081 Greatest k such that k! divides sigma(n!).

1, 1, 3, 3, 5, 3, 4, 6, 6, 2, 4, 4, 4, 7, 7, 7, 7, 4, 9, 7, 8, 8, 11, 8, 8, 10, 10, 9, 10, 13, 14, 13, 6, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 8, 11, 11, 12, 19, 21, 16, 16, 16, 14, 14, 12, 16, 16, 16, 16, 16, 16, 22, 21, 21, 21, 19, 19, 20, 20, 20, 20, 22, 21, 21, 19, 14

Offset

1,3

Comments

sum(k=1,n,a(k)) seems to be asymptotic to C*n^2 with 1/20 < C < 1/10.

Links

Giovanni Resta, Table of n, a(n) for n = 1..10000

Prog

(PARI) a(n) = my(m=1, s=sigma(n!)); for (k=1, n, if ((s % k!) == 0, m = max(m, k))); m; \\ Michel Marcus, Dec 05 2019

Crossrefs

Cf. A062569 (sigma(n!)).

Sequence in context: A359421 A014780 A216199 * A094928 A178984 A065507

Adjacent sequences: A073078 A073079 A073080 * A073082 A073083 A073084

Keyword

easy,nonn

Author

Benoit Cloitre, Aug 17 2002

Status

approved