6899

6899 is a natural number that follows 6898 and precedes 6900. In decimal notation it is a four-digit odd number and can be represented in other bases as well.

In mathematics, 6899 is a prime number. It has no positive divisors other than 1 and itself. The primality of 6899 can be checked by testing divisors up to its square root; no prime less than or equal to 83 divides it, confirming its status as prime. Because (6899 − 1) / 2 equals 3449 and 3449 is prime, 6899 is also a safe prime, a category sometimes noted in number theory and certain cryptographic contexts.

Representations of 6899 include binary, hexadecimal, and octal forms. In binary it is 1101011110011. In hexadecimal it is 0x1AF3. In octal it is 15363. The decimal digits sum to 32, giving a digital root of 5, and the number is odd, contributing to its basic parity properties.

As a prime number, 6899 has only two positive divisors, 1 and 6899. It does not possess small-factor properties, which aligns with its classification as a prime. Beyond that, 6899 is primarily of interest in mathematical contexts or as a numeric identifier in lists of primes, rather than possessing widely attributed cultural or historical associations.