Question 32
We consider the following operation applied to a positive integer: The integer is represented in an arbitrary base $b \ge 2$, in which it has exactly two digits and in which both digits are different from $0$. Then the two digits are swapped and the result in base $b$ is the new number.
Is it possible to transform every number $\gt 10$ to a number $\le 10$ with a series of such operations?
(Theresia Eisenkölbl)
Is it possible to transform every number $\gt 10$ to a number $\le 10$ with a series of such operations?
(Theresia Eisenkölbl)