7929

7929 is the natural number that follows 7928 and precedes 7930. In base 10 it is written as 7929 and has four digits. It is an odd, composite number with prime factorization 3^2 × 881, where 881 is prime.

Because every prime congruent to 3 modulo 4 occurs in the factorization with even exponent, 7929 can be expressed as a sum of two squares. Indeed, one representation is 7929 = 75^2 + 48^2. Equivalently, 7929 = 9 × (25^2 + 16^2). This makes 7929 a member of the class of integers representable as a sum of two squares.

In other bases, 7929 is 0x1EF9 in hexadecimal and 1111011111001 in binary (dropping leading zeros). The digit sum in base 10 is 27, which confirms divisibility by 9 (7929 ÷ 9 = 881), though it is not divisible by 27 (27 × 293 = 7911 and 27 × 294 = 7938).

Modularly, 7929 is congruent to 9 modulo 12 and to 1 modulo 4. Its divisors include 1, 3, 9, 881, and 7929, among others derived from the prime factorization.

As a standalone integer, 7929 does not carry widely noted historical or cultural significance, but it is a small composite number with a straightforward factorization and a clean sum-of-two-squares representation, of interest in basic number theory.