answersLogoWhite

0

33550336 = 212*8191

So its factors are of the form 2m and 2n*8191 where 0 ≤ m,n ≤ 12.

Their sum is (1 + 8191)*(20 + 21 + 22 + ... + 212) = 8192*(213 - 1)/(2 -1) = 67100672

This includes the factor 33550336 itself, so the sum of the proper factors is 67100672 - 33550336 = 33550336. Therefore the number is perfect.

User Avatar

Wiki User

11y ago

Still curious? Ask our experts.

Chat with our AI personalities

ReneRene
Change my mind. I dare you.
Chat with Rene
JudyJudy
Simplicity is my specialty.
Chat with Judy
FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran

Add your answer:

Earn +20 pts
Q: How do you show that 33550336 is a perfect number?
Write your answer...
Submit
Still have questions?
magnify glass
imp