5584

5584 is a positive integer in the decimal system. In mathematics, it is composite and has the prime factorization 2^4 × 349, where 349 is a prime number. Accordingly, its divisors are 1, 2, 4, 8, 16, 349, 698, 1396, 2792, and 5584, giving a total of ten divisors.

As a number, 5584 is even and divisible by 8 and 16. Because 349 is congruent to 1 modulo 4, 5584 is a sum of two squares; a representation is 5584 = 72^2 + 20^2. This also aligns with the product form 16 × 349, since 16 is a square and 349 is a sum of two squares (18^2 + 5^2), yielding the same result via the sum-of-two-squares identity.

In common numeral systems, 5584 is expressed as 0x15D0 in hexadecimal and 1010111010000 in binary. The decimal digits sum to 22, giving 5584 ≡ 4 (mod 9). There is no widely cited mathematical constant or notable constant association with 5584 beyond its basic number-theoretic properties.

Overall, 5584 is primarily of interest as a representative example of a small composite number with a simple prime factorization and a straightforward sum-of-squares representation.