4971

4971 is the natural number that follows 4970 and precedes 4972. It is an odd composite number.

Its prime factorization is 4971 = 3 × 1657, with 1657 being a prime number. Consequently, its divisors are 1, 3, 1657, and 4971. The sum of its proper divisors is 1 + 3 + 1657 = 1661, which is less than 4971, so 4971 is a deficient number.

In different numeral systems, 4971 has the following representations: binary 1001101101011, octal 11553, and hexadecimal 0x136B. These representations reflect its decimal value across common bases used in computing and digital systems.

Modular arithmetic observations include 4971 ≡ 0 mod 3, and 4971 ≡ 1 mod 5. Its status as a product of two primes means it is not a prime, a perfect square, or a cube.

Beyond basic arithmetic, 4971 does not have widely cited special mathematical significance. It may be used as a generic label, identifier, or index in numbering schemes, datasets, or cataloging systems, as with any other natural number.