9907

9907 is a natural number that lies between 9906 and 9908. It is an odd integer and, in mathematical terms, it is a prime number, meaning it has no positive divisors other than 1 and itself. Because its square root is about 99.5, a primality check requires testing divisors only up to 97, and no such divisor exists for 9907. As a result, 9907 has exactly two positive divisors: 1 and 9907. It is also of the form 6k+1, since 9907 mod 6 equals 1.

In various bases, 9907 has the following representations. In binary it is 10011010110011. In octal it is 23263_8, and in hexadecimal it is 0x26B3. These representations reflect its unique value across numeral systems commonly used in computing and number theory.

The decimal digits of 9907 sum to 25, giving a digital root of 7. Aside from its primality and base representations, there is no widely noted special significance attached to 9907 in standard number-theory contexts. Like many primes, it serves as an example in discussions of primality, modular arithmetic, and numeral bases.