There's this homework question I have, and while I know people generally don't like these, I would like a hint on how to get started please.
A positive integer begins with the digit 1 when written in decimal. When this digit is transferred to the end of the number, the number is tripled. Find the smallest number that has this property.
I know it has something to do with divisibility by 3. How should I start? Could someone please give an insightful comment that might let me solve it (without feeling like cheating)?
Edit: I suppose that transfer means that 12345 would become 23451...