9926

9926 is a natural number that follows 9925 and precedes 9927. It is even and composite, with prime factorization 2 × 7 × 709, making it squarefree with three distinct prime factors. Consequently, 9926 has eight positive divisors: 1, 2, 7, 14, 709, 1418, 4963, and 9926. The sum of all divisors is 17040, so the sum of proper divisors is 7114. Because this sum is less than 9926, the number is deficient. Its Euler totient is 4248, computed as (2−1)(7−1)(709−1) = 1×6×708.

In various numeral systems, 9926 is represented as follows: binary 10011011000110, octal 23306, and hexadecimal 0x26C6. These representations reflect its factorization into distinct primes.

The number’s divisor structure and factorization have basic implications in number theory, such as the eight divisors arising from the three distinct prime factors and the corresponding totient value. As an even, squarefree composite, 9926 serves as a straightforward example of how the divisor count, totient, and base representations relate to prime factorization. It shares the same family as numbers of the form 2 × p × q with p and q primes, illustrating common properties of small, highly composite products. See also adjacent integers 9925 and 9927 for contextual continuity.