9769

9769 is a natural number that follows 9768 and precedes 9770. In number theory, it is classified as a prime number, meaning its only positive divisors are 1 and itself. It is odd and not a multiple of small primes such as 2, 3, or 5. The decimal digit sum is 31, giving a modulo 9 residue of 4. The value lies between the squares 98^2 = 9604 and 99^2 = 9801, confirming that 9769 is not a perfect square.

Numeral representations and basic forms: In binary, 9769 is 10011000101001; in hexadecimal, it is 0x2629; in octal, it is 23051. The decimal form is 9,769, and its approximate scientific notation is 9.769 × 10^3.

Context and usage: As a four-digit prime, 9769 is commonly used in educational contexts to illustrate primality testing, base conversion, and modular arithmetic. While it does not correspond to a widely known constant or named theorem, it serves as a representative example of a prime within the four-digit range.