5171

5171 is a natural number that follows 5170 and precedes 5172. It is a prime number, having only the positive divisors 1 and 5171. A check of divisibility by primes up to 71 yields no factors, confirming its primality. As an odd prime, 5171 is congruent to 3 modulo 4, and it is 1 modulo 5.

Beyond decimal notation, 5171 has several common representations in other bases. In binary it is 1010000110011. In base 3 it appears as 21002112_3, and in base 4 it is 1100303_4. In hexadecimal, 5171 equals 0x1433. These representations illustrate how the same value is expressed differently across numeral systems.

As a prime number, 5171 participates in the standard properties of primes: it has no divisors other than 1 and itself, and it cannot be formed by multiplying two smaller integers greater than 1. Its primality situates it within the sequence of primes and makes it of occasional interest in number theory explorations, such as tests of primality, modular arithmetic, and base-representation algorithms.