4764

4764 is a natural number that comes after 4763 and before 4765. In mathematics, it is an even composite number with the prime factorization 4764 = 2^2 × 3 × 397. Consequently, its divisors are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, and 4764.

Because of its factorization, 4764 is divisible by 2, 3, 4, 6 and 12. The sum of its positive divisors, denoted sigma(4764), equals 11,144. Since sigma(4764) − 4764 = 6,380, the number is classified as abundant, meaning it has a proper divisor sum that exceeds the number itself.

In common numeral representations, 4764 is written in binary as 1001010011100 and in hexadecimal as 0x129C. Its approximate square root is just over 69, reflecting that 69^2 is 4,761.

A notable mathematical property of 4764 is that it is the product of the small composite 12 and the prime 397, highlighting a simple yet nontrivial factor structure. The divisors listed above reflect all combinations of its prime factors, yielding a total of 12 divisors. Outside of pure number theory, 4764 has no widely recognized special significance as a date, constant, or identifier, and is primarily encountered as an example of a moderately large composite number with a clear prime factorization.

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