4823

4823 is a natural number that sits between 4822 and 4824. In mathematics, it is an odd composite integer. Its prime factorization is 7 × 13 × 53, making it square-free. Consequently, its positive divisors are 1, 7, 13, 53, 91, 371, 689, and 4823.

In various numeral bases, 4823 has representations such as binary 100101101010111 (base 2), hexadecimal 12D7 (base 16), and octal 11327 (base 8). In Roman numerals, it can be written as MMMMDCCCXXIII, though some conventions place a bar over the thousands to denote 4000.

As a number, 4823 is used primarily in arithmetic and coding contexts where an exact integer is required. Its factorization properties place it in the class of square-free integers with three distinct prime factors, which has implications in number theory regarding divisors and modular arithmetic.

There are no widely recognized mathematical constants or famous theorems uniquely associated with the number 4823. It is not a prime or a prime power, and it does not form a two-prime semiprime nor a factorial-related value. Beyond its role as a distinct integer, 4823 primarily serves as an example of a composite, square-free number in educational materials and cataloging sequences.