An integer is a whole number that can be either positive, negative, or zero. Integers do not include fractions or decimals. The set of integers is typically represented as:
\[ { \ldots, -3, -2, -1, 0, 1, 2, 3, \ldots } \]
In mathematical notation, the set of all integers is often denoted by the symbol \( \mathbb{Z} \).