All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 SUM = PR0DUCT (Posted on 2017-10-18)
List all the integers N, below 10000, such that the sum of their proper divisors (i.e. N excluded) equals their product.

Counterexample:
take 12: s(1,2,3,4,6)=16; p(1,2,3,4,6)=144;
so 12 is not on the list.

 Submitted by Ady TZIDON No Rating Solution: (Hide) The list consists of number 6 and all prime numbers. See Brian Smith's proof.

Comments: ( You must be logged in to post comments.)
 Subject Author Date re: Analytic Solution..............revised Ady TZIDON 2017-10-19 23:07:03 Analytic Solution Brian Smith 2017-10-18 12:02:57 computer solution Charlie 2017-10-18 10:52:00
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (5)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information