perplexus.info :: Numbers : SUM = PR0DUCT

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:

Forums (0)
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:


perplexus dot info