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Let be a positive integer. The divisor function is defined as
The divisor function is sometimes denoted as
A more general form of this function is the sum of positive divisors function, which returns the sum of powers of the distinct positive divisors of a positive integer.
Let be a positive integer and let be a real or complex number. The sum of positive divisors function is defined as
is the sum of divisors function, which returns the sum of all positive divisors of a number. This is sometimes denoted as