thousandmultiple

Thousandmultiples are integers that are multiples of 1000. In standard mathematical language, a thousandmultiple is any integer n for which n = 1000k for some integer k. The collection of all thousandmultiples is the set 1000Z, i.e., all integers divisible by 1000.

In decimal notation, thousandmultiples end with three zeros. Examples include 0, 1000, -2000, 3500000, and so on. The defining property is preserved under addition, subtraction, and multiplication by any integer: if a and b are thousandmultiples, so are a + b, a − b, and a × m for any integer m. Consequently, the set 1000Z forms an additive subgroup of the integers and an ideal in the ring of integers.

Relation to terminology and usage: the phrase thousandmultiple is not a formal technical term in the literature; most sources simply say “a multiple of 1000.” Nonetheless, the concept is useful in practical contexts such as rounding or grouping numbers in thousands, data alignment, and scale reasoning in financial or engineering settings. For example, amounts often are approximated to the nearest thousand when presenting summaries, effectively treating the rounded figures as thousandmultiples.

Generalization and note: the idea extends to multiples of any fixed base, such as 10^n. In that sense, a thousandmultiple is a specific instance of a base-based divisibility concept. Overall, the term serves as a descriptive shorthand for numbers divisible by 1000, reflecting a simple and widely understood numerical structure.