Wikipedia says:
In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. A positive integer which is not polite is called impolite. The impolite numbers are exactly the powers of two, and the polite numbers are the natural numbers that are not powers of two.
But it says nothing about why such numbers have the odd name “polite,” and that usage is not in the OED entry (updated September 2006). Anybody know?
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