3169

3169 is a natural number that sits between 3168 and 3170. In mathematics, it is a prime number, meaning it has no divisors other than 1 and itself. It is an odd, non-square integer; the nearest perfect squares are 56^2 = 3136 and 57^2 = 3249.

As a prime, 3169 has standard representations in various bases. In hexadecimal, 3169 equals 0xC61; in binary, it equals 110001100001. In decimal form it is written as 3169.

3169 is congruent to 1 modulo 3 and 1 modulo 4, reflecting its remainder properties when divided by these small integers. It is not divisible by any prime less than or equal to 53, which suffices to establish primality since the square root of 3169 is about 56.

In the context of number theory, 3169 serves as an example of a four-digit prime. There are no widely known constants, factorizations into smaller primes, or notable identities specifically associated with 3169 beyond its primality.

See also: prime number; list of prime numbers; base representation.