integers

Numbers without fractions

Integers are whole numbers—positive, negative, or zero—without fractional or decimal components.

The set includes ..., -3, -2, -1, 0, 1, 2, 3, ... extending infinitely in both directions.

In programming, integer often refers to a data type that stores whole numbers: The function returns an integer.

Contrast with fractions, decimals, and floating-point numbers.

arithmetic

whole

Full and undivided

even · odd · prime · composite · addition · subtraction · multiplication · division · divisible · factorial

counting

consecutive

Following in unbroken sequence

ordinal · finite · infinite · counting · numerals · digits · sequence · nonnegative · nonpositive · successor

numbertheory

prime

Readying for action

divisibility · congruences · modular · factorization · greatest common divisor · least common multiple · Euclidean · parity · perfect · abundant

computing

binary

Consisting of two parts

underflow · bit · byte · truncation · rounding · long · short · int · hexadecimal · octal

Categories
Opposites
number type/completeness

integersfractions

Parts expressed numerically

decimals · non-integers · rational numbers · mixed numbers · real numbers

rationality/expressibility

integersirrational numbers

Non-terminating, non-repeating decimals

pi · e · complex numbers · imaginary numbers

Phrases
Family

integer

Familiarity
Top 100,000
Profile
Known to kids · Used worldwide · Timeless · Abstract · Rated G