3889

3889 is a natural number that follows 3888 and precedes 3890. In mathematics it is notable for being a prime number, meaning it has no positive divisors other than 1 and itself. Its primality can be verified by checking divisibility by primes up to its square root (approximately 62), with no divisor found among primes up to 61.

Because 3889 is congruent to 1 modulo 4, it can be expressed as a sum of two squares; one such representation is 3889 = 60^2 + 17^2.

In various numeral systems, 3889 has representations such as binary 111100110001, octal 7461, and hexadecimal F31. In Roman numerals it is written MMMDCCCLXXXIX.

As a prime, 3889 is a member of the sequence of prime numbers and has no nontrivial factorization. It has the decimal digit pattern 3, 8, 8, 9 and serves as an example in discussions of primality and number representations.