Triperfect Numbers

April 23, 2019

We have another exercise today based on a Numberphile video:

A perfect number is a number n that is equal to the sum of its divisors, excluding itself; in other words, a perfect number n satisfies the equation σn = 2n, where σ is the divisor-sum function. A triperfect number is a number n such that σn = 3n. It is believed that there are six, and only six, triperfect numbers.

Your task is to compute the six triperfect numbers. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.

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