WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

The Divisor Sigma Function

​
maximum integer
100
1000
5000
connect points
include Gaussian integers
y axis
number of divisors
In Mathematica, DivisorSigma[k,n] calculates the sum of the
th
k
powers of the divisors of
n
. For example, you can use DivisorSigma[0,n] in order to determine the number of divisors of the integer
n
and DivisorSigma[1,n] to determine the sum of these divisors. This Demonstration allows you to visualize the results of applying DivisorSigma to various ranges of integers.
When Gaussian integers are selected, the Demonstration returns a plot of the absolute values of DivisorSigma, since the result may be complex.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.