Divisor Count of 4

Example of Use of Divisor Count Function

$\map {\sigma_0} 4 = 3$

where $\sigma_0$ denotes the divisor count function.


Proof

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


The divisors of $4$ can be enumerated as:

$1, 2, 4$

$\blacksquare$

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