Primitive Semiperfect Number/Examples/496

Example of Primitive Semiperfect Number

$496$ is a primitive semiperfect number:

$1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 496$

Proof

We have that $496$ is a perfect number:

$496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248$

The result follows from Perfect Number is Primitive Semiperfect.

$\blacksquare$