Question

Show that $496$ is a perfect number.

Answer 1

A number in which the sum of all its factors is equal to twice the number is called a perfect number.

Factors of $496=1,2,4,8,16,31,62,124,248,496$

Sum of all factors$=1+2+4+8+16+31+62+124+248+496=992=496\times 2‬$

Hence $496$ is a perfect number.