Perfect Number/Examples/6

Example of Perfect Number
$6$ is a perfect number:
 * $1 + 2 + 3 = 6$

Proof
Thus $6$ is in the form $2^{n - 1} \left({2^n - 1}\right)$.

$\left({2^2 - 1}\right) = 3$ is prime.

So $6$ is perfect by the Theorem of Even Perfect Numbers.

The aliquot parts of $6$ are enumerated at $\tau$ of $6$:
 * $1, 2, 3$

[[Category:6]]