(Q4047453)

English

divisor sum function

the arithmetic function mapping a positive integer to the sum of all its positive divisors (including itself)

divisor sum
sigma function
σ(n)
σ₁(n)
divisor function

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instance of

integer-valued function

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Sigma function.svg
600 × 480; 7 KB

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defining formula

\sigma (n)=\sigma _{1}(n)=\sum _{d|n}d

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\sigma (n)=\prod _{i=1}^{r}{\frac {p_{i}^{k_{i}+1}-1}{p_{i}-1}}

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in defining formula

n

symbol represents

natural number

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\sigma (n)

symbol represents

divisor sum function

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d

symbol represents

divisor

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p

symbol represents

prime factor

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k

symbol represents

multiplicity of a prime factor

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Google Knowledge Graph ID

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Definition:Divisor_Sum_Function

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(Q4047453)

divisor sum function

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