A perfect number is a positive integer that equals the sum of its positive (all divisors excluding the number itself). Smallest Examples : The first few are 6 ( ), 28 ( ), and 496 .
: To date, only 51 perfect numbers have been discovered, all of which are even. It remains a famous unsolved problem whether any odd perfect numbers exist or if the set of perfect numbers is infinite. Perfect Numbers And Fibonacci Sequences
: Every even perfect number is generated by the formula must be a Mersenne prime . A perfect number is a positive integer that
: Every even perfect number except 6 has a digital root of 1 (e.g., for 28: The Fibonacci Sequence 28 ( )