6351

6351 is a natural number that comes after 6350 and before 6352. In decimal notation it is written as 6351. The number is odd and composite.

6351 factors as 3 × 29 × 73, which are distinct primes. Consequently, it has eight positive divisors: 1, 3, 29, 73, 87, 219, 2117, and 6351. It is therefore square-free.

The sum of divisors σ(6351) equals (1+3)(1+29)(1+73) = 4 × 30 × 74 = 8880. The sum of proper divisors is 8880 − 6351 = 2529, so 6351 is a deficient number (σ(n) < 2n). The totient function φ(6351) equals (3−1)(29−1)(73−1) = 2 × 28 × 72 = 4032.

In base representations, 6351 equals 0x18CF in hexadecimal and 1100011001111 in binary.

Context: As a product of three distinct primes, 6351 is a standard example of an integer with exactly eight divisors. It appears in number-theory discussions on factorization, divisor functions, and multiplicative functions.