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Smallest Abundant Number

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2
See all short problems arranged by curriculum topic in the short problems collection


An abundant number is a positive integer $N$ such that the sum of the factors of $N$ (not including $N$ itself) is greater than $N$.

What is the smallest abundant number?


If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.