Register to reply

Why do we deal with perfect numbers?

by DyslexicHobo
Tags: deal, numbers, perfect
Share this thread:
Jun9-07, 08:35 AM
P: 248
Do perfect numbers have any relation to the real world, or any type of use at all?

It seems that they aren't so perfect, just because base 10 doesn't really occur in nature--ever.

Is there any sort of importance of these numbers, or is it just some phenomena that happens that mathematicians like to look at? :P

Thanks for responses. :)
Phys.Org News Partner Mathematics news on
Heat distributions help researchers to understand curved space
Professor quantifies how 'one thing leads to another'
Team announces construction of a formal computer-verified proof of the Kepler conjecture
Jun9-07, 08:45 AM
Sci Advisor
HW Helper
P: 2,586
Perfect numbers have nothing to do with base 10. Most mathematics is about what mathematicians like to look at.
Jun9-07, 10:01 AM
Sci Advisor
HW Helper
mathwonk's Avatar
P: 9,488
probably because they occur in euclid.

robert Ihnot
Jun9-07, 02:23 PM
P: 1,059
Why do we deal with perfect numbers?

I don't suppose they have any real use, but the Greeks gave them importance and were believers in numerology.

The matter can be generalized some to Amicable Numbers, such as 284 and 220, where each has divisors less than itself that sum up to the other.

220 = (2^2)x5x11, and the sum of the divisors less than itself is: (1+2+4)(1+5)(1+11)-220 = 7x6x12-220 = 284. While 284 =4x71, and the divisors (1+2+4)(71+1)-284=220.
These numbers were given importance even in things like marrage.

Fermat and Descartes both discovered new sets of amicable numbers.
Jun9-07, 02:33 PM
P: 248
Ok, I see. So they're just numbers that are very "nice" numbers.

Quote Quote by AKG View Post
Perfect numbers have nothing to do with base 10. Most mathematics is about what mathematicians like to look at.
The only time I've seen perfect numbers are in base 10. I wasn't thinking, though... because it doesn't matter what the base is, they're going to be perfect no matter what. D'oh. >_<

Thanks for the replies.

Register to reply

Related Discussions
Perfect practice makes perfect! General Math 0
: Matlab to find perfect numbers Math & Science Software 0
Perfect numbers beside 6 in mod6. Linear & Abstract Algebra 9
Perfect numbers/residue Introductory Physics Homework 1
Perfect Numbers Linear & Abstract Algebra 18