Multiplicatively perfect numbers: Difference between revisions

Added a note to make the inclusion of '1' as a MPN optional.
(Added a note to make the inclusion of '1' as a MPN optional.)
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If the product of the divisors of an integer n (including n itself) is equal to n^2, then n is a ''multiplicatively perfect number''.
EquivalentlyAlternatively: the product of the proper divisors of n (i.e. excluding n) is equal to n.
 
Note that the integer '1' qualifies under the first definition (1 = 1 x 1), but not under the second since '1' has no proper divisors. Given this ambiguity, it is optional whether '1' is included or not in solutions to this task.
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