We define a positive integer as a flawless number if is it equal to the sum of all the positive divisors less than itself.
For example, all the positive divisors of 6 are 1, 2, 3, 6. So, 6 is a flawless number because the sum of all the positive divisors less than 6 is itself!
What is the smallest flawless number that is larger than 6?
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If 2 n − 1 is prime then ( 2 n − 1 ) ( 2 n − 1 ) is a flawless number (usually called perfect number ).