A number N is perfect if the sum of its divisors, including 1 but excluding itself, add up to N.

So, for example, 28 is perfect because 1 + 2 + 4 + 7 + 14 = 28.

The problem is to find an odd perfect number, or prove that no such number exists. 

For further information, please see:

[1] http://mathworld.wolfram.com/OddPerfectNumber.html

[2] http://en.wikipedia.org/wiki/Odd_perfect_number

[3] http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Perfect_numbers.html

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