6667

6667 is an integer in the decimal numeral system. It is the successor of 6666 and the predecessor of 6668, and it is often encountered in mathematical and computing contexts.

Mathematically, 6667 factors as 59 × 113, so it is composite and squarefree. It is not a prime number. The prime factorization shows it is a semiprime, the product of two distinct primes.

Representations: In hexadecimal, 6667 equals 0x1A0B; in binary, it is 1101000001011.

Applications and usage: In computing, 6667 is widely known as the default port for Internet Relay Chat (IRC) servers, part of the commonly used 6660–6669 port range. This usage arises from historical conventions for IRC server listening ports.

Other notes: As a four-digit decimal number near 6666, the year 6667 CE would lie in the far future; there is no widely recognized historical event associated with this specific number. In number theory, it serves as an example of a composite semiprime.