👉 In mathematics, a "profound" number is an integer that can be represented as a sum of powers of 2. Specifically, a number n is said to have a "profound" representation if there exists a sequence of integers a_1, a_2, ..., a_k such that: \[a_{k+1} = 2^{n-k}\] for some integer k. For example, the numbers 3 and 8 are profound because they can be represented as
