5185

5185 is a natural number that follows 5184 and precedes 5186. It is an odd, composite integer. Its prime factorization is 5 × 17 × 61, making it square-free (no repeated prime factors).

The positive divisors of 5185 are 1, 5, 17, 61, 85, 305, 1037, and 5185, giving the number eight divisors in total. Its Euler totient is φ(5185) = 3840, and the sum of its positive divisors is σ(5185) = 6696.

In other base representations, 5185 equals 1010001000001 in binary and 0x1441 in hexadecimal. These representations reflect its decomposition into powers of two and into base sixteen, respectively.

As a mathematical object, 5185 serves as an example of a square-free, three-prime product. It is used in teaching contexts to illustrate divisor counting, totients, and divisor sums for numbers with multiple distinct prime factors. Outside of pure mathematics, 5185 can appear as an identifier, model number, or code in various domains, but such uses depend on context beyond the numerical properties discussed here.