5865

5865 is a natural number that follows 5864 and precedes 5866. It is used in mathematical contexts as an example of a composite integer.

In arithmetic, 5865 is odd and composite. Its prime factorization is 3 × 5 × 17 × 23, which makes it squarefree (no repeated prime factors). It has 16 positive divisors. The sum of all divisors is 10368, so the sum of its proper divisors is 4503, which is less than 5865, indicating that 5865 is a deficient number. The Euler totient function yields φ(5865) = 2816, reflecting the count of integers less than 5865 that are relatively prime to it. It is also divisible by 15, since 5865 = 15 × 391 and 391 = 17 × 23.

Representations of 5865 in different bases include binary, hexadecimal, and octal. In binary it is 1011011101001. In hexadecimal it is 0x16E9. In octal it is 013351.

There are no widely known constants, theorems, or prominent objects uniquely associated with the number 5865. It primarily serves as a representative example of a small, squarefree, four-prime product in number theory discussions and teaching contexts.