Divisor Sum of 1
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Example of Divisor Sum of Integer
- $\map {\sigma_1} 1 = 1$
where $\sigma_1$ denotes the divisor sum.
Proof
By definition, the divisor sum of an integer $n$ is the sum of the 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.
$\blacksquare$