24096

24096 is a number that appears in various contexts across mathematics, computing, and popular culture. In mathematics, it is notable as a highly composite number, meaning it has more divisors than any smaller positive integer. Specifically, 24096 can be factored into primes as 2^13 × 3^2, which contributes to its high number of divisors (108 in total). This property makes it useful in number theory and combinatorics for studying divisor functions and multiplicative orders.

In computing, 24096 holds significance as a power of two (2^14), which is often relevant in digital systems. It represents 24 kilobytes (24 KB) when expressed in binary units, a value that historically influenced memory allocation and storage design in early computing architectures. Additionally, 24096 is sometimes referenced in programming contexts as a threshold or boundary value in algorithms or data structures.

The number also appears in recreational mathematics and puzzles, such as in the context of the "24 Game," where players use arithmetic operations to combine four given numbers (often including 24096 in variations) to reach a target result. Its presence in such games highlights its role in numerical problem-solving and mathematical play.

Beyond these technical domains, 24096 has been referenced in literature, media, and internet culture, often as an obscure or memorable figure. Its inclusion in various creative works may stem from its mathematical properties or its role in niche technical discussions. While not widely recognized in everyday contexts, its specialized appearances underscore its relevance in specific fields.