4875

4875 is a natural number that comes after 4874 and before 4876. It is odd and composite, with a prime factorization of 4875 = 3 × 5^3 × 13.

As a result, 4875 has 16 positive divisors. Its divisors arise from combining the primes 3, 5^3, and 13. The sum of all divisors is 8736, so the sum of its proper divisors is 3861. The digit sum of 4875 is 24, which means the number is divisible by 3 but not by 9. It is also divisible by 5 and by 25, since the last two digits are 75, and indeed 4875 = 25 × 195. The greatest common divisor with 100 is 25, reflecting its divisibility by 25.

In different numeral systems, 4875 has the following representations: binary 1001100001011_2, octal 11413_8, and hexadecimal 0x130B. In decimal notation it remains four digits with the digits 4, 8, 7, and 5.

In arithmetic and number theory contexts, 4875 often appears as an example of a composite number with a small prime cube factor and as a case study in divisor-counting and base-conversion exercises. Its factorization into 3 × 5^3 × 13 makes it useful for illustrating multiplicative structure and divisibility properties.