496 By Euler Euclid Theorem, we know that all even perfect numbers are of the form k(k+1)/2 where k is a prime of the form 2^p - 1, for all positive integers p. Or in other words, its a Mersenne Prime. Plug in p=5, we get k = 31, which is prime. 31(31+1)/2 = 496 which is a perfect number
2 years ago
| 4
Cheenta Academy for Olympiad & Research
A perfect number is a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Which of the following numbers is perfect?
2 years ago | [YT] | 20