Even Divisor Function

The sum of powers of even divisors of a number. It is the analog of the divisor function for even divisors only and is written sigma_k^((e))(n). It is given simply in terms of the usual divisor function by

 sigma_k^((e))(n)={0   for n odd; 2^ksigma_k(n/2)   for n even.

See also

Divisor Function, Odd Divisor Function

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Even Divisor Function." From MathWorld--A Wolfram Web Resource.

Subject classifications