perfect number

Self-summing divisor total

A perfect number is a positive integer that equals the sum of all its divisors except itself.

The smallest is 6, whose divisors 1, 2, and 3 add up to 6.

The next is 28 (1 + 2 + 4 + 7 + 14).

Perfect numbers are rare—only a few dozen are known—and have fascinated mathematicians since antiquity.

mathematics

Euclid

Father of geometry

integer · even · prime · theorem · proof · conjecture · algorithm · factorization · formula · infinite

abundance

abundant

Existing in great quantity

excess · surplus · comparison · taxonomy

harmony

proportion

Comparative relation of parts

unity · wholeness · order · beauty · elegance · cosmic · ideal · aesthetic

antiquity

Pythagoras

Ancient Greek mathematician

Platonism · mysticism · numerology · classical · ancient · Hellenistic · Alexandria · cosmology · metaphysics · sacred

Categories
Opposites
mathematical rarity/commonality

perfect numbercomposite number

Integer with several divisors

prime number · natural number

Family

number, perfect, perfectly, imperfect, perfection, perfected, imperfection, perfecting, perfectionist

Familiarity
Top 500,000
Profile
Used worldwide · Timeless · Abstract · Positive · Rated G