6 = (1+2+3) 6 = (1x2x3)
Abundant is a number for which the sum of all its proper factors is greater than the number itself. Deficient is a number for which the sum of all its proper factors is less than the number itself. Perfect is a number for which the sum of all its proper factors is the number itself.
41
Find the sum of the proper divisors of that number.a perfect number equals the sum of its proper divisorsa deficient number is greater than the sum of its proper divisorsan abundant number is less than the sum of its proper divisors
A perfect number equals the sum of its proper divisors. A deficient number is greater than the sum of its proper divisors. An abundant number is less than the sum of its proper divisors. Proper divisors of a number do not include the number itself.
Those numbers are called abundant.
There are three equivalent definitions for an abundant number.A number is abundant if:the sum of all its factors (including itself) is more than double the number;the sum of all factors of the number which are smaller than the number, must be more than the number;the sum of all proper factors of the number must be at least as large as the number.
The smallest prime number that is a factor of the sum of 32009 and 52009 is: 2
There aren't any numbers like that. You might be thinking of 28, which has a sum of all its factors equal to twice itself, making it a perfect number. Proper factors are a different set.
A perfect number is the term for a number that is equal to the sum of its proper divisors. Be careful not to confuse that with proper factors. Proper divisors include 1 but not the number itself. Proper factors don't include either I or the original number.
69,440
By some definitions prime numbers don't have proper factors. In other definitions, their only proper factor is 1. Either way, your answer is the next prime number after 50, which would be 53.