An odd number is a number which is not divisible by 2.

A dozenal number is odd if and only if it ends in 1, 3, 5, 7, 9, or E.

A number is odd if and only if its prime factorization does not contain the prime factor 2.

The parity of a number is defined to be whether the number is even or odd. An even number has parity 1.

The product of an odd number and an odd number is odd. Moreover, the product of *n* whole numbers is odd if and only if all of the numbers are odd.

The sets of odd numbers is defined as

v • e Number Sequences | |||||||

Numeral system-constant | |||||||
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Prime - Odd number
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Numeral system-dependent | |||||||

Gapful - Gilda - Harshad - Polydivisible - Self - Wasteful |