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2

Part of 2009 Flanders Math Olympiad

Problems(1)

natural with 4 divisors wanted

Source: Flanders Math Olympiad 2009 p2

12/24/2022
A natural number has four natural divisors: 11, the number itself, and two real divisors. That number plus 99 is equal to seven times the sum of the true divisors. Determine that number and prove that it is unique.
number theoryDivisors