perfect number

(redirected from Even perfect number)
Also found in: Encyclopedia.

perfect number

n.
A positive integer that is equal to the sum of its positive integral factors, including 1 but excluding itself.

perfect number

n
(Mathematics) an integer, such as 28, that is equal to the sum of all its possible factors, excluding itself

per′fect num′ber


n.
a positive number that is equal to the sum of all positive integers that are submultiples of it, as 6, which is equal to the sum of 1, 2, and 3.
[1350–1400]

per·fect number

(pûr′fĭkt)
A positive integer that equals the sum of all of its divisors other than itself. An example is 28, whose divisors (not counting itself) are 1, 2, 4, 7, and 14, which added together give 28.
Mentioned in ?
References in periodicals archive ?
Sandor, A note on S(n), where n is an even perfect number, Smarandache Notions J.
Remark III: Every even perfect number n is of the form n = [2.
The test for an even perfect number now depends on finding whether the number [M.
sup-1] q is an even perfect number (Euclides proved that every perfect number is of this type).
Conversely, suppose n is any even perfect number and write n as n = [2.