Divisor Count of 4
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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:
- $1, 2, 4$
$\blacksquare$