4529

4529 is a natural number that follows 4528 and precedes 4530. In mathematics, it is notable for being a semiprime, since its prime factorization is 4529 = 7 × 647, where 647 is a prime. As a result, it has exactly four positive divisors: 1, 7, 647, and 4529, and it is square-free.

Representations in different bases include 0x11B1 in hexadecimal and 1000110110001 in binary. Its Euler totient is φ(4529) = (7 − 1)(647 − 1) = 6 × 646 = 3876. The number is odd and not divisible by 3 or 5; it is divisible by 7 by construction.

From a number-theory perspective, 4529 serves as a straightforward example of a product of two distinct primes, illustrating concepts such as factorization, divisor counts, and modular arithmetic. It does not correspond to any widely known constant, calendar year, or major catalog item, but it is sometimes used in instructional contexts to demonstrate properties of semiprimes and related arithmetic.

In summary, 4529 is a composite, square-free integer with a simple prime factorization, specific base representations, and a clear set of divisors, making it a convenient example in introductory discussions of number theory.