Identical Digits Property?
Number Theory
Level
2
True or false:
Let \(Q\) be a positive integer with all \(3^n\) identical digits, that is \(Q = \underbrace{aaaaaaa\ldots a}_{3^n \text{ digits}} \). Then, \(3^n\) divides \(Q\) for positive integers \(n\).
by
Alejandro Castillo