4523

4523 is a natural number that follows 4522 and precedes 4524. In decimal notation, it is a four-digit positive integer. It is prime, having no positive divisors other than 1 and itself. This can be verified by checking divisibility by primes up to its square root (approximately 67); primes such as 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, and 67 do not divide it.

In other bases, 4523 equals 1000110101011₂ in binary, 10653₈ in octal, and 11AB₁₆ in hexadecimal. Since 4523 is greater than 3999, its representation in standard Roman numerals is not typically used; if rendered, it would be MMMM DXXIII in some conventions, though this is nonstandard.

Applications: as a sample prime, 4523 is commonly used in demonstrations of primality testing and base-conversion algorithms in number theory and computer science. It also serves as a simple example value in discussions of digit sums and modular arithmetic.

From a broader perspective, 4523 does not correspond to a widely recognized constant or historical year and is primarily encountered as an example number in mathematical contexts.

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