6311

6311 is a natural number that follows 6310 and precedes 6312. It is an odd four-digit integer. In mathematics, 6311 is prime, meaning it has exactly two distinct positive divisors: 1 and itself. Consequently, it is not divisible by any integer other than 1 and 6311. The number is congruent to 3 modulo 4, so it cannot be expressed as a sum of two integer squares.

In base representations, 6311 equals 1100010100111 in binary. The decimal digits sum to 11, giving a digital root of 2. As a prime, 6311 is a member of the sequence of prime numbers and appears in mathematical tables and lists that catalog primes.

Outside pure mathematics, 6311 may occur as a model number, serial code, or postal/ID code in various contexts. Without additional context, there is no widely noted historical event, geographic location, or cultural reference uniquely associated with the number 6311.

In summary, 6311 is primarily recognized as a prime number with standard numeric properties, and it may also serve as an identifier in non-mathematical contexts where numerical codes are used.