What is abundant number - Definition and Meaning

Abundant Number :

A number ‘n’ is called as an abundant number or excessive number, if the sum of the divisors of n is greater than or equal to 2n.


Formula :


Abundant Number formula

Example :

n = 18, The divisors of 'n' are, 1, 2, 3, 6, 9, 18. Sum of divisors (s) = 39, 2n = 36, 39 > 36. So the given number 18 is an abundant number. First ten abundant numbers are 12, 18, 20, 24, 30, 36, 40, 42, 48, and 54.
Abelian group Abundance

Learn what is abundant number. Also find the definition and meaning for various math words from this math dictionary.


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