4003

4003 is a natural number that sits between 4002 and 4004. In number theory, it is a prime number. It is odd and has no positive divisors other than 1 and 4003. Its primality can be confirmed by checking divisibility by primes up to the square root of 4003 (about 63), with none dividing evenly.

Decimal and alternate representations: In base 10 it is written as 4003. In binary it equals 111110100011, and in hexadecimal it is FA3. The sum of its decimal digits is 7, so 4003 is congruent to 1 modulo 3 and to 3 modulo 4 and modulo 8.

Other mathematical properties: As a prime, its only positive divisors are 1 and 4003. The square of 4003 is 16,024,009. The number is odd and congruent to 3 modulo 4, which has implications in certain modular arithmetic contexts.

Context and usage: Because it is a four-digit prime, 4003 appears in discussions of primality testing, prime gaps near 4000, and teaching examples in elementary number theory. It may also be used as an identifier or placeholder in datasets, depending on context.

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