A rotcaf is the number that results from adding a number and the greatest factor of the number that is less than the number. For example, the rotcaf of $9$ is $9+3$, or $12$. What is the sum of the rotcafs of all the numbers from $1$ to $5$?
1
2 + 1
3 + 1
4 + 2
5 + 1
I'll let you finish