8719

8719 is a natural number that follows 8718 and precedes 8720. In mathematics, it is a prime number, meaning its only positive divisors are 1 and 8719. It is odd, and as a prime, it has no nontrivial factorization.

8719 is congruent to 3 modulo 4, which implies it cannot be expressed as a sum of two integer squares. This property places it in a class of primes with no representation as a^2 + b^2 for integers a and b.

In common base representations, 8719 is written as 0x220F in hexadecimal, 21017 in octal, and 10001000001111 in binary. These representations reflect its decimal value in different numeral systems.

The square root of 8719 is approximately 93.3, so primality is typically established by confirming that no prime divisor exists up to 89. As a prime number, 8719 has a straightforward divisor structure: its only positive divisors are 1 and 8719.

There is no widely recognized mathematical constant, named theorem, or famous object specifically associated with the number 8719. Aside from its status as a prime, it does not have a notable place in standard lists of exceptional primes or mathematical curiosities.