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SUM = PR0DUCT (Posted on 2017-10-18) Difficulty: 3 of 5
List all the integers N, below 10000, such that the sum of their proper divisors (i.e. N excluded) equals their product.

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

See The Solution Submitted by Ady TZIDON    
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Hints/Tips re: Analytic Solution..............revised Comment 3 of 3 |
(In reply to Analytic Solution by Brian Smith)

IMHO - excellent proof!

I suggest editing the 1st sentence: either erase the word "at" or replace it by "at least".
 Other than that  - bravo!

Edited on October 19, 2017, 11:12 pm
  Posted by Ady TZIDON on 2017-10-19 23:07:03

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