MathDB

6

Part of 1992 Rioplatense Mathematical Olympiad, Level 3

Problems(1)

sum of its positive divisors is greater than its double

Source: II - Rioplatense 1992 L3 P6

9/19/2022
Definition: A natural number is abundant if the sum of its positive divisors is greater than its double.
Find an odd abundant number and prove that there are infinitely many odd abundant numbers.
number theory