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Even Perfect Number


An even perfect number is perfect number that is even, i.e., an even number n whose sum of divisors (including n itself) equals n.

All known perfect numbers are even, and Ochem and Rao (2012) have shown that any odd perfect number must be larger than 10^(1500).


See also

Odd Perfect Number, Perfect Number

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References

Ochem, P. and Rao, M. "Odd Perfect Numbers Are Greater than 10^(15000)." Math. Comput. 81, 1869-1877, 2012.

Cite this as:

Weisstein, Eric W. "Even Perfect Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EvenPerfectNumber.html

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