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We call a proper divisor of a positive integer as a positive divisor other than itself. For example, the divisors of 8 are 1, 2, 4, 8, the first three of these numbers are the proper divisors of 8.

 

Find all positive integers n, 1 <= n <= 1000, that are equal to the product of their positive divisors.  For example, 8 = 1*2*4 works.

 Jul 13, 2020
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My computer says there are 292 such numbers. if you want a list of them, then let me know.

Note: I did not include "perfect squares", such as 4, 9, 16.....etc.

 Jul 13, 2020
edited by Guest  Jul 13, 2020

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