Abundant number

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This article defines a property that can be evaluated for a natural number, i.e., every natural number either satisfies the property or does not satisfy the property.
View a complete list of properties of natural numbers


A natural number is termed an abundant number if . Here, denotes the divisor sum function, or the sum of all positive divisors of . Equivalently, is abundant if the sum of all proper divisors of is strictly greater than .

Relation with other properties

Opposite properties