Consecutive Number Sums

This calculator checks whether a number can be written as a sum of two or more consecutive natural numbers and lists all such sums.

The rule

There are as many sums as the number has odd divisors greater than one. Only powers of two cannot be written this way: 1, 2, 4, 8, 16 and so on.

Example. The odd divisors of 15 are 3, 5 and 15, so there are three sums: 7 + 8, 4 + 5 + 6 and 1 + 2 + 3 + 4 + 5.