5717

5717 is a natural number that follows 5716 and precedes 5718. In mathematics, it is notable as a prime number. A simple divisibility check confirms that 5717 has no divisors among primes up to 73, and since the square root of 5717 is about 75, no larger factors can exist; thus 5717 is prime.

In base representations, 5717 can be expressed as follows: binary 1011001010101, hexadecimal 0x1655, and octal 13125.

Its digit sum is 20. It is congruent to 2 modulo 3 and 1 modulo 4, reflecting its interactions with common modular arithmetic patterns. As a prime number, 5717 participates in the broader study of primes and their distribution, and it can appear in problems involving factorization, primality testing, and sequence analysis.

Beyond pure mathematics, 5717 may appear as a numeric identifier in various databases, catalogs, or systems where integers are used as reference numbers. In those contexts, its value carries no intrinsic meaning beyond its role as a unique label, unlike a natural descriptor or a mathematically defined constant.