Odd Part


The odd part Od(n) of a positive integer n is defined by


where b(n) is the exponent of the exact power of 2 dividing n. Od(n) is therefore the product of odd factors of n. The values for n=1, 2, ..., are 1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 11, ... (OEIS A000265).

See also

Even Part, Greatest Dividing Exponent

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"Problem H-81." Fib. Quart. 6, 52, 1968.Sloane, N. J. A. Sequence A000265/M2222 in "The On-Line Encyclopedia of Integer Sequences."

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Odd Part

Cite this as:

Weisstein, Eric W. "Odd Part." From MathWorld--A Wolfram Web Resource.

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