A problem with regards to the sum of the digits of a number

54 Views Asked by At

The problem says the following: Let $S(n)$ be the sum of digits of some number $n \in \Bbb N^*$. Find a natural number $k$, such that $S(k)=2017 \times S(3k) $. (The sum of the digits of a number is defined as summing the digits once in this case).

I have no idea what to do and where to start solving this.