Positive Integer is Sum of Consecutive Positive Integers iff not Power of 2/Examples/18
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Examples of Use of Positive Integer is Sum of Consecutive Positive Integers iff not Power of 2
$18$ is not a power of $2$.
In fact, it has $3$ and $9$ as its odd factors.
Hence by the construction, we can express $18$ as:
| \(\ds 18\) | \(=\) | \(\ds 5 + 6 + 7\) | ||||||||||||
| \(\ds 18\) | \(=\) | \(\ds \paren {-2} + \paren {-1} + 0 + 1 + 2 + 3 + 4 + 5 + 6\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 3 + 4 + 5 + 6\) | after cancellation |