8481

8481 is a positive integer in the decimal system. In number theory, it is a composite number with prime factorization 3 × 11 × 257, making it a square-free product of three distinct primes. Its eight positive divisors are 1, 3, 11, 33, 257, 771, 2827, and 8481. Consequently, 8481 is divisible by 3, by 11, and by 257, and thus by 33 and by 771 as well.

In other common numeral systems, 8481 has straightforward representations. In binary it is 0010000100100001₂. In hexadecimal it is 0x2121, and in octal it is 20441₈. These representations reflect its underlying decomposition into powers of two, which aligns with its binary and hexadecimal forms.

From a modular-arithmetic perspective, 8481 exhibits several simple properties: it is odd, and it satisfies 8481 ≡ 1 (mod 8) and 8481 ≡ 0 (mod 11) since it is divisible by 11. Its digit sum is 21, so 8481 ≡ 3 (mod 9). More generally, as a product of distinct primes, 8481 is square-free, meaning it has no repeated prime factors.

Overall, 8481 is primarily notable for its factorization as a product of three small primes and for its clean representations in several bases. Beyond serving as a concrete example of a composite, square-free integer with multiple small factors, it does not correspond to a widely recognized constant, constant, or named object in common mathematical literature.