5807

5807 is a natural number that sits between 5806 and 5808. In mathematics, it is a prime number, meaning its only positive divisors are 1 and itself. It is odd and not divisible by 2, 3, 5, or any other prime up to 73, which is sufficient to establish primality since 73 is the largest prime less than the square root of 5807. Because 5807 ≡ 3 (mod 4), it cannot be expressed as a sum of two squares, a property shared by primes in this congruence class.

In various numeral systems, 5807 has the following representations: binary 1011010101111, octal 13257, and hexadecimal 0x16AF. These representations can be useful in fields such as computer science and digital electronics where base conversions are common.

As a prime, 5807 is part of the sequence of prime numbers and has no nontrivial factorization in the integers. It does not correspond to a widely noted constant, model number, or code outside standard mathematical contexts, and there are no widely recognized cultural or historical associations specific to this exact value.

See also: prime number, modular arithmetic, representations of numbers in different bases.