9882

9882 is a natural number that comes after 9881 and before 9883. In mathematics, it is an even composite number with prime factorization 2 × 3^4 × 61. Consequently, it has 20 positive divisors and is divisible by 2, 3, 6, 9, 18, 27, 54, and 81, among others. The digit sum is 27, making the number divisible by 9; indeed 9882 is divisible by 9, with 9882/9 = 1098. It can also be expressed as 99^2 + 9^2. In hexadecimal, 9882 equals 0x269A, and in binary it is 10011010011010. The decimal representation 9882 equals 2 × 3^4 × 61. The sum of divisors is 22506.

As a general number, 9882 has no widely noted historical or cultural significance on its own; it is primarily of interest in arithmetic and number theory as an example of a composite number with a relatively large square factor and a complete prime factorization. It follows the sequence of natural numbers and participates in standard arithmetic operations and modular arithmetic; for example, 9882 ≡ 0 (mod 9) and 9882 ≡ 2 (mod 8). Its representation as 0x269A in hexadecimal and 10011010011010 in binary illustrate common base conversions for decimal integers.