3167

3167 is a natural number that comes after 3166 and before 3168. It is an odd, positive integer.

In mathematics, 3167 is a prime number. Its primality can be established by noting that it is not divisible by any prime number up to 53 (the primes 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, or 53 do not divide 3167). Therefore, it has exactly two positive divisors: 1 and itself.

3167 has several simple base representations. In hexadecimal, it is 0xC5F. In octal, it is 6137. In binary, it is 110001011111.

As a prime, 3167 participates in the general study of prime numbers and their distribution. It is not a multiple of any small integer, and it does not form a trivial composite factorization, which is consistent with its status as a prime.

In other contexts, 3167 may appear in mathematical examples or be used as a representative large prime in discussions of primality testing and base conversions. Outside of numerical properties, there is no widely recognized historical or cultural significance attached specifically to the number 3167.