7699

7699 is a natural number that follows 7698 and precedes 7700. In mathematics, it is notable for being a prime number. It is an odd integer and cannot be factored into integers greater than 1 aside from 1 and itself. A verification shows that 7699 is not divisible by any prime up to 83, which confirms its primality. Its only positive divisors are 1 and 7699.

In decimal form, 7699 is written as 7699. In other common bases, it equals 0x1E13 in hexadecimal, 1111000010011 in binary, and 17023 in octal. The digit sum is 7 + 6 + 9 + 9 = 31, which implies 7699 ≡ 1 mod 3 and gives other modular properties such as 7699 ≡ 3 mod 8 and 4 mod 5.

Geometrically, 7699 lies between the squares 87^2 = 7569 and 88^2 = 7744, so it is not a perfect square. As a prime, 7699 has no nontrivial divisors and is used in general discussions of prime numbers, primality testing, and number-theoretic examples. Beyond its status as a prime, 7699 does not have widely recognized special properties in standard number theory, but it remains an example of an odd, indivisible integer within the integers.