DivisorSigma

DivisorSigma[k,n]

gives the divisor function .

Details and Options

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

Examples

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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:

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Sums of divisors:

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Sums of squared divisors:

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Scope  (2)

Generalizations & Extensions  (2)

Options  (1)

Applications  (4)

Properties & Relations  (4)

Possible Issues  (1)

Neat Examples  (2)

See Also

DivisorSum  EulerPhi  Divisors  Divisible  PerfectNumber  PerfectNumberQ

Tutorials

Introduced in 1988
(1.0)