9264

9264 is a positive integer in the natural numbers, positioned between 9263 and 9265.

In number theory, 9264 has the prime factorization 2^4 × 3 × 193. This makes the number composite. It is divisible by 2, 3, 4, 6, 8, 12, 16, 24, 48, and by 193 in combination with powers of two and three. The full set of divisors consists of 20 numbers, namely: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, and 9264. The largest proper divisor is 4632. The sum of all divisors is 24056, and the sum of proper divisors is 14792.

The number can be expressed in several common bases: in hexadecimal it is 0x2430, in octal it is 22060, and in binary it is 0010010000110000 (a 16-bit representation). Its decimal digits sum to 21, giving a digital root of 3. It is divisible by 48, since 9264 = 48 × 193, where 193 is a prime number.

As a four-digit decimal number, 9264 does not stand out for a known widespread mathematical constant or constant-riddled property beyond its factorization and divisor structure. It serves as an example of a number with a simple prime factorization involving a relatively large prime (193) and a modest power of two.