5289

5289 is a natural number that follows 5288 and precedes 5290. It is an odd composite number with a prime factorization of 3 × 41 × 43.

Because its prime factors are distinct, 5289 is squarefree. Its divisors are 1, 3, 41, 43, 123 (3×41), 129 (3×43), 1763 (41×43), and 5289 (3×41×43), for a total of eight divisors. Notably, 41 and 43 are twin primes, so 5289 is the product of a small prime and a pair of twin primes.

In modular arithmetic, 5289 is congruent to 1 modulo 4, as 5289 ≡ 1 (mod 4). The sum of its decimal digits is 24, so the number is divisible by 3 but not by 9. The Euler totient function gives φ(5289) = 3360, reflecting the count of integers up to 5289 that are relatively prime to it.

Representations in other bases include binary and hexadecimal: 5289 in binary is 1010010101001₂, and in hexadecimal it is 0x14A9. As a product of primes including 3 (which is 3 mod 4), 5289 cannot be expressed as a sum of two squares.

In summary, 5289 is a squarefree, odd composite number with a distinct prime factorization, notable for incorporating twin primes 41 and 43 and for its straightforward divisor structure and base representations.