5827

5827 is a natural number that follows 5826 and precedes 5828. In mathematics, it is notable for being prime.

Prime properties: 5827 is odd and not divisible by any integer other than 1 and itself. It is not divisible by any prime number up to its square root (approximately 76), including 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, and 73. Consequently, 5827 is a prime. It is congruent to 3 modulo 4, and therefore cannot be expressed as a sum of two squares.

Representations and digits: In base 2 it is 1011011000011; in base 8 it is 13303; in base 16 it is 0x16C3. The decimal digits are 5, 8, 2, and 7.

Context: As a prime, 5827 is sometimes used as an example in discussions of primality testing, modular arithmetic, and number theory. It has no widely recognized uses beyond that, but it does illustrate several standard properties of primes in small ranges.

See also: Prime numbers; Base representation.