BUILT-IN MATHEMATICA SYMBOL

DivisorSigma

DivisorSigma[k, n]
gives the divisor function .

Details and Options Details and Options

Integer mathematical function, suitable for both symbolic and numerical manipulation.
is the sum of the powers of the divisors of n.
DivisorSigma[k, n, GaussianIntegers->True] includes divisors that are Gaussian integers.
DivisorSigma automatically threads over lists.

Examples Examples open all close all

Basic Examples (2)Basic Examples (2)

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Sum of divisors:

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Sum of squares of divisors:

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Plot the number of divisors:

Out[1]=

Sums of divisors:

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Sums of squared divisors:

Out[3]=

Scope (2)Scope (2)

Generalizations & Extensions (2)Generalizations & Extensions (2)

Options (1)Options (1)

Applications (4)Applications (4)

Properties & Relations (4)Properties & Relations (4)

Possible Issues (1)Possible Issues (1)

Neat Examples (2)Neat Examples (2)

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See Also See Also

DivisorSum EulerPhi Divisors Divisible

Tutorials Tutorials

Integer and Number Theoretic Functions

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