Abundant Numbers
II
An abundant number is a positive integer in which the sum of all its factors, other than the number itself, is greater than the number. For example, 12 is abundant because the sum of its factors 1, 2, 3, 4, and 6 is greater than 12.
Sam has been exploring abundant numbers. He claims that every even number greater than 46 is the sum of two abundant numbers. What do you think? Are even numbers less than 46 not equal to the sum of two abundant numbers?
Submit your idea for an investigation to InterMath.
