Integer (computer science) at least 32 bits on any computer. Programmers may also incorrectly assume that a pointer can be converted to an integer without loss of information, which may work on (some) 32-bit computers, but fail on 64-bit computers with 64-bit pointers and 32-bit integers. A "short integer" can represent a whole number that may take less storage, while having a smaller range, compared with a standard integer on the same machine. In C, it is denoted by short. It is required to be at least 16 bits, and is often smaller than a standard integer, but this is not required. A
Quadratic integer examples of most studies of algebraic number fields. The quadratic integer rings divide in two classes depending on the sign of . If , all elements of formula_22 are real, and the ring is a "real quadratic integer ring". If , the only real elements of formula_22 are the ordinary integers, and the ring is a "complex quadratic integer ring". For real quadratic integer rings, the ideal class number, which measures the failure of unique factorization, is given in OEIS A003649; for the imaginary case, they are given in OEIS A000924. For < 0, ω is a complex (imaginary or