8713

8713 is a natural number that comes after 8712 and before 8714. It is an odd prime, meaning its only positive divisors are 1 and itself. As with any prime, its primality can be confirmed by checking divisibility by primes up to the square root of 8713 (approximately 93), with no divisors found.

In decimal form it is 8713. It has several standard base representations: in binary it is 10001000001001, in octal 21011, and in hexadecimal 0x2209. Because 8713 is a prime congruent to 1 modulo 4, it can be expressed as a sum of two squares: 8713 = 93^2 + 8^2.

Additional arithmetic properties include its parity and modular congruences. It is congruent to 1 modulo 4 (8713 ≡ 1 mod 4), and its digit sum is 8+7+1+3 = 19, so it is congruent to 1 modulo 9. It is also 3 modulo 5 (8713 ≡ 3 mod 5). These small modular observations are typical for odd primes and help illustrate its behavior in different modular systems.

Contextually, 8713 is notable primarily as a prime number and, because it satisfies p ≡ 1 (mod 4), it admits a representation as a sum of two squares, which is a classical property in number theory. Beyond that, it does not have widely cited special constants or named significance in common mathematical references.