We consider the following operation applied to a positive integer: The integer is represented in an arbitrary base b≥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 >10 to a number ≤10 with a series of such operations?(Theresia Eisenkölbl) Austrianumber theorynumber base