5803

5803 is a natural number that comes after 5802 and before 5804. It is a composite number with prime factorization 7 × 829, where 829 is prime. Therefore, 5803 is square-free, having no repeated prime factors.

In decimal notation, 5803 uses four digits and is an odd number. The sum of its digits is 16, so it is not divisible by 3 or 9. Its last digit is 3, so it is not divisible by 5.

In standard base representations, 5803 is written as 1011010101011 in binary and 0x16AB in hexadecimal.

From a modular arithmetic perspective, 5803 ≡ 3 (mod 4) and ≡ 3 (mod 8). These residues reflect its oddness and its remainder when divided by small powers of two.

Summary points:

- Composite number, prime factors 7 and 829

- Square-free

- Binary: 1011010101011; Hexadecimal: 0x16AB

- Digit sum 16; not divisible by 3, 9, or 5

- Congruences: 3 modulo 4 and 3 modulo 8

There are no widely noted special mathematical or historical properties attached to 5803 beyond its factorization and basic representations.