42768

42768 is a number that appears in various contexts across mathematics, computing, and popular culture, though it is not inherently significant in any single field. Numerically, 42768 can be expressed as a power of two multiplied by a smaller integer, specifically 42768 = 2^15 × 3. This decomposition highlights its divisibility by 32 (2^5) and 3, making it a composite number with several factors.

In computing, 42768 holds particular relevance as it is the decimal representation of the hexadecimal value 0xA600, which is sometimes used in low-level programming or hardware specifications. It also appears in the context of memory addressing or data storage calculations, particularly in systems where binary or hexadecimal representations are common.

The number gained broader recognition through its appearance in the 2005 film *Harry Potter and the Goblet of Fire*, where it is referenced as the winning ticket number in the Triwizard Tournament. This connection has led to its occasional mention in discussions about the *Harry Potter* series, particularly among fans and collectors.

While 42768 does not hold deep mathematical significance like prime numbers or constants such as π, its appearance in specific technical and cultural contexts makes it notable to niche audiences. Its structure as a product of powers of two and three also makes it useful in certain algorithmic or cryptographic applications where factorization properties are relevant.