Question 22
Let $f(n)$ be the number of positive integer factors of $n$. Find the sum of the smallest and second-smallest positive integers $n$ such that $f(n-3)=\frac13 f(n)$. Interpret the divisor function on positive integers, so $n>3$.
Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).
Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).