9931

9931 is a natural number that comes after 9930 and before 9932. In mathematics, it is notable for being a prime number. The only positive divisors of 9931 are 1 and 9931, which means it is not divisible by any prime up to its square root (approximately 99.65). A quick check shows that none of the primes up to 97 divides 9931, confirming its primality.

The decimal representation of the number is 9931. The sum of its digits is 22, giving a digital root of 4. It is odd and congruent to 3 modulo 4 and modulo 8.

In other numeral systems, 9931 converts to binary as 10011011001011 and to hexadecimal as 26CB. For reference, 9931 equals 2^13 + 2^10 + 2^9 + 2^7 + 2^6 + 2^3 + 2^1 + 2^0.

As with many four-digit primes, 9931 appears in mathematical lists and problem sets as an example of a prime with certain digit patterns. Beyond its status as a prime, there are no widely recognized mathematical properties uniquely associated with 9931.