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OddQ—Wolfram Documentation

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OddQ[expr]

gives True if expr is an odd integer, and False otherwise.

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Basic Examples  
Applications  
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OddQ

OddQ[expr]

gives True if expr is an odd integer, and False otherwise.

Details

  • OddQ[expr] returns False unless expr is manifestly an odd integer (i.e. has head Integer, and is odd).

Examples

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Basic Examples  (2)

Test whether 9 is odd:

Wolfram Language code: OddQ[9]

OddQ gives False for non-numeric expressions:

Wolfram Language code: OddQ[x]

Applications  (1)

Test whether a vector consists of odd integers:

Wolfram Language code: VectorQ[{1, 5, 7, 11}, OddQ]
Wolfram Language code: VectorQ[{2, 5, 7, 11}, OddQ]

Properties & Relations  (2)

An integer is either odd or even. Use EvenQ to check that an integer is even:

Wolfram Language code: OddQ[2]
Wolfram Language code: EvenQ[2]

Odd integers are not divisible by 2:

Wolfram Language code: OddQ[15]
Wolfram Language code: Not[Divisible[15, 2]]

Possible Issues  (1)

Expressions that represent odd integers but do not evaluate explicitly will still give False:

Wolfram Language code: x = 3(GoldenRatio - 1 / GoldenRatio);
Wolfram Language code: OddQ[x]

It is necessary to use symbolic simplification first:

Wolfram Language code: FullSimplify[x]
Wolfram Research (1988), OddQ, Wolfram Language function, https://reference.wolfram.com/language/ref/OddQ.html.

Text

Wolfram Research (1988), OddQ, Wolfram Language function, https://reference.wolfram.com/language/ref/OddQ.html.

CMS

Wolfram Language. 1988. "OddQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/OddQ.html.

APA

Wolfram Language. (1988). OddQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/OddQ.html

BibTeX

@misc{reference.wolfram_2026_oddq, author="Wolfram Research", title="{OddQ}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/OddQ.html}", note=[Accessed: 14-November-2026]}

BibLaTeX

@online{reference.wolfram_2026_oddq, organization={Wolfram Research}, title={OddQ}, year={1988}, url={https://reference.wolfram.com/language/ref/OddQ.html}, note=[Accessed: 14-November-2026]}