5689

5689 is a natural number that comes after 5688 and before 5690. In mathematics, it is a prime number, meaning its only positive divisors are 1 and itself. Consequently, 5689 has no nontrivial factorization. The number is odd and congruent to 1 modulo 4, a property that aligns with Fermat’s theorem on sums of two squares: 5689 can be expressed as the sum of two squares, 75^2 + 8^2. Its digital root is 1 (5 + 6 + 8 + 9 = 28, 2 + 8 = 10, 1 + 0 = 1).

Numeral representations and basic encodings: In binary, 5689 is 1011000111001, and in hexadecimal it is 0x1639. As a four-digit decimal, its digits are 5, 6, 8, and 9. The number may appear in various contexts as a numeric identifier or catalog entry, or as a hypothetical year in fiction, but it is primarily noted for its mathematical properties as a prime number.