8047

8047 is a natural number that follows 8046 and precedes 8048. It is an odd four-digit integer.

Mathematically, 8047 is a prime number: it has no positive divisors other than 1 and itself. It is not divisible by 2, 3, or 5, and a check of divisors up to 89—the square root of 8047—confirms primality. Because 8047 ≡ 3 (mod 4), it is a prime of the form 4k+3, and it cannot be expressed as a sum of two squares.

In different numeral systems, 8047 can be written as 0x1F6F in hexadecimal and as 0001111101101111 in 16-bit binary.

Beyond its numeric properties, 8047 does not have a widely recognized significance in standard mathematical catalogs, and it is typically encountered as an example of a four-digit prime in introductory discussions.