7968

7968 is a natural number that comes after 7967 and before 7969. In mathematics, it is an even composite number with prime factorization 2^5 × 3 × 83, which yields 24 positive divisors. The sum of its decimal digits is 30, so 7968 is divisible by 3 but not by 9.

In different numeral systems, 7968 has the representations: binary 1111100100000, octal 17440, and hexadecimal 1F20. The decimal value can thus be read off in multiple common bases without changing its underlying magnitude.

As a four-digit integer, 7968 does not correspond to a prime, a perfect square, or a prime power. Its digital root is 3, since 7 + 9 + 6 + 8 = 30 and 3 + 0 = 3. The number is divisible by 2, 3, 4 (since 2^2 divides it), 8, 16, 32, 6, 12, 24, and 48, among other divisors implied by its factorization.

In naming and notation, 7968 is spoken as “seven thousand nine hundred sixty-eight.” It may appear as an identifier or label in various catalogs, datasets, or product codes, but it does not carry a specific, widely recognized meaning on its own.

See also the adjacent integers 7967 and 7969 for contextual numeric progression.