Divisor Count of 8

Example of Use of Divisor Count Function

$\map {\sigma_0} 8 = 4$

where $\sigma_0$ denotes the divisor count function.


Proof

\(\ds \map {\sigma_0} 8\) \(=\) \(\ds \map {\sigma_0} {2^3}\)
\(\ds \) \(=\) \(\ds 3 + 1\) Divisor Count Function of Power of Prime
\(\ds \) \(=\) \(\ds 4\)


The divisors of $4$ can be enumerated as:

$1, 2, 4, 8$

$\blacksquare$

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