NL-BXMO-TST 2016 Problem 1

For a positive integer $n$ that is not a power of two, we define $t(n)$ as the greatest odd divisor of $n$ and $r(n)$ as the smallest positive odd divisor of $n$ unequal to $1$ . Determine all positive integers $n$ that are not a power of two and for which we have $n = 3t(n) + 5r(n)$ .