n is a positive integer. Let's say that {n} denotes the sum of all the positive divisors of n except for n itself. For example, {4} = 1 + 2 = 3 and {8} = 1 + 2 + 4 = 7. What is {{{496}}}?
Answer:
496
- Let us first find all divisors of 496, excluding 496 itself.
- We know that the divisors of the 496 are: 1, 2, 4, 8, 16, 31, 62, 124, and 248.
- The sum of its divisors, {496} = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 496.
- Since {496} = 496:
{{{496}}} = {{496}} = {496} = 496.