# Divisor Counting Function/Examples/1

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## Example of Use of Divisor Counting Function

The value of the divisor counting function for the integer $1$ is $1$.

## Proof

By definition, the divisor counting function of an integer $n$ is the number of positive integer divisors of $n$.

There is only one positive integer which is a divisor of $1$, and that is $1$ itself.

Hence the result.

$\blacksquare$