What are the Factors of 33550336?Date: 9 Apr 1995 01:09:17 -0400 From: Jirachai Chuchat Subject: Re: Perfect Numbers Do you know the factors for the Perfect Number, 33550336? Thanks Chris Date: 9 Apr 1995 14:40:51 -0400 From: Dr. Ken Subject: Re: Perfect Numbers Hello there! The perfect numbers that we know about, i.e. the even perfect numbers (we don't know if any odd perfect numbers exist) are in the form 2^(n-1) * (2^n - 1). It is known that whenever 2^n - 1 is prime (these primes are known as the Mersenne primes), the number 2^(n-1) * (2^n - 1) is perfect. In your case, n=13, so the factorization is 33550336 = 2^12 * (2^13 - 1) = 2^12 * 8191, and 8191 is prime. Have fun with it! -Ken "Dr." Math |
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