5 ms·
> There's only one sum of all the proper divisors for any given integer. This really seems to assume that uniqueness is an implicit property of each integer of
by casion 3y ago
> There's only one sum of all the proper divisors for any given integer.
This really seems to assume that uniqueness is an implicit property of each integer of such sums. I don't understand how you would know know that or how to discover that other than "you couldn't get the answers we're showing you unless you assumed that".
- PeterisP 3y agoNo, it only assumes that for every integer there exists a single, well defined set of "the proper divisors". Afterwards, summing all of them up is a trivial operation that can only possibly yield a single value.
- seba_dos1 3y agoIt says "the sum of all the proper divisors", not "the sum of a sequence consisting of all the proper divisors". It makes no sense to consider repetitions there (it gets easily reduced to absurd when you do), and it's already clear from the definition without even having to look at examples.