7499

7499 is the natural number that follows 7498 and precedes 7500. In mathematics, it is classified as a prime number, meaning its only positive divisors are 1 and 7499.

It is odd and greater than 2. Its primality implies there is no nontrivial factorization of 7499. As a prime, 7499 has exactly two positive divisors: 1 and 7499.

7499 is congruent to 3 modulo 4, a property that implies it cannot be expressed as a sum of two squares. It is not a safe prime, since (7499 − 1)/2 equals 3749, which is a composite number (23 × 163).

Numeral representations of 7499 include decimal 7499, hexadecimal 1D4B, binary 1110101001011, and octal 16513.

In summary, 7499 is a prime number with straightforward divisors and characteristic representations across common numeral bases. Its prime status places it among the integers of interest in basic number theory and modular arithmetic.

See also: prime number, modular arithmetic, numeral systems.