4500

4500 is the natural number that follows 4499 and precedes 4501. In mathematics it is a composite, even integer with multiple divisors and serves as a typical example in factorization and divisor studies.

Its prime factorization is 4500 = 2^2 × 3^2 × 5^3. Because of this factorization, 4500 has (2+1)(2+1)(3+1) = 36 positive divisors. The sum of all divisors equals 7 × 13 × 156 = 14,196, so the sum of its proper divisors is 14,196 − 4500 = 9,696, which makes 4500 an abundant number (the sum of proper divisors exceeds the number itself).

In different base representations, 4500 decimal equals 1000110010100 in binary and 0x1194 in hexadecimal. Decimal 4500 is also equal to 45 × 100 or 9 × 500, illustrating its factorable, round-number nature.

Beyond pure mathematics, 4500 can be used as a year designation in calendar contexts (4500 BCE or 4500 CE, depending on era prefix). As a measurement reference, 4500 meters corresponds to 4.5 kilometers, a common scale in geography or athletics when discussing distances. Overall, 4500 is a versatile, well-rounded integer with several noteworthy arithmetic properties and practical interpretations.