4785

4785 is a natural number that follows 4784 and precedes 4786. It is an odd, composite integer with several notable arithmetic properties.

Its prime factorization is 3 × 5 × 11 × 29, which makes 4785 square-free. Consequently, it has 16 positive divisors: 1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, and 4785. The sum of these divisors is 8640. In modular terms, 4785 is divisible by 3 and by 5 (as indicated by its digit sum and its last digit), and it is also divisible by 11 and 29 due to its factorization.

In other representations, 4785 equals 1001010110001 in binary, 12B1 in hexadecimal, and 11261 in octal. Its decimal digit sum is 24, which explains divisibility by 3 but not by 9.

Contextually, 4785 is primarily notable as an example of a square-free number comprised of four distinct primes. It serves to illustrate properties such as the number of divisors and the variety of base representations, rather than as a widely cited constant or value in a specific mathematical sequence.