Is 8128 a perfect number?

Given :

The given number is 8128.

To do :

We have to find whether 8128 is a perfect number.

Solution :

A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself.

Prime factorisation of 8128 is,

$8128=2\times2\times2\times2\times2\times2\times127$

Diviors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064.

Sum of the divisors$=1+2+4+8+16+32+64+127+254+508+1016+2032+4064=8128$

Therefore, 8128 is a perfect number.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

143 Views

Kickstart Your Career

Get certified by completing the course

Get Started