5639

5639 is a natural number that follows 5638 and precedes 5640. In mathematics, 5639 is a prime number, meaning it has no positive divisors other than 1 and itself. It is an odd, four-digit integer. The sum of its digits is 23, giving a digital root of 5.

In different base representations, 5639 appears as follows: in binary it is 10110000000111, in octal it is 13007, and in hexadecimal it is 0x1607. Decimal notation remains 5639.

The primality of 5639 can be verified by checking divisibility by primes up to the square root of 5639, which is approximately 75; it is not divisible by any prime number up to 73, confirming its status as a prime number.

5639 does not have widely noted mathematical constants or notable cultural associations. It is sometimes used as a representative prime in introductory number theory problems involving primality, base conversions, or digital roots.

See also: prime number, base representation.