Question 170
For a positive integer $n$ that is not a power of two, we define $t(n)$ as the largest odd divisor of $n$ and $r(n)$ as the smallest positive odd divisor of $n$ that is not equal to 1. Determine all positive integers $n$ that are not a power of two and for which
$$
n=3 t(n)+5 r(n)
$$
$$
n=3 t(n)+5 r(n)
$$