A132652 Sum of divisors of n, sigma(n) raised to power sigma(n).

1, 27, 256, 823543, 46656, 8916100448256, 16777216, 437893890380859375, 302875106592253, 39346408075296537575424, 8916100448256, 33145523113253374862572728253364605812736, 11112006825558016, 1333735776850284124449081472843776

Offset

1,2

Links

Table of n, a(n) for n=1..14.

Formula

a(n) = sigma(n)^sigma(n).

Example

a(4) = 823543 because sigma(4) = 1 + 2 + 4 = 7 and we can write 823543 = 7^7 or 823543 = 7*7*7*7*7*7*7.

Mathematica

Table[DivisorSigma[1, n]^DivisorSigma[1, n], {n, 14}] (* Stefano Spezia, Sep 10 2022 *)

Crossrefs

Cf. A000203 (sum of divisors: sigma function), A000312, A008973, A008974, A051674.

Sequence in context: A016107 A101379 A374894 * A349507 A373039 A125390

Adjacent sequences: A132649 A132650 A132651 * A132653 A132654 A132655

Keyword

easy,nonn

Author

Omar E. Pol, Aug 29 2007

Status

approved