Problems Section: Problems 1471 - 1480

Parabola incorporating Function would like to thank Sin Keong Tong for contributing problem 1472.

Q1471 Find the positive integer which has $7$ proper divisors, with the sum of the proper divisors being $673$. (Proper divisors are all divisors except the number itself: for example, the proper divisors of $20$ are $1,2,4,5,10$.)