Theorem If 2^{k} − 1 = prime, then 2^{k − 1} (2^{k} − 1) is a perfect number. Prime Factorization Prime Factorization Calculator

Examples of Theorem K 2^{K} - 1 = Prime 2^{K - 1}(2^{K} -1) = Perfect 2 2^{2}- 1 = 3 2^{1}(3) = 6 K = 3 2^{3}- 1= 7 2^{2}(7) = 28