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The divisors functions

The arithmetical function is defined as the sum of the th powers of positive divisors of , that is

(1)

Two special cases are of special interest in number theory

• , the resulting function , called the number of divisors function is denoted by ,
• , leads to the function the sum of divisors denoted by , that is .

To compute the set of divisor of a positive integer and the value of a divisor function go to .

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