4096 is the natural number following 4095 and preceding 4097. As the twelfth power of two (212), it holds significant importance in Digital Memory and Computing. Its fundamental binary nature makes it a common value for capacities, counts, and limits in various digital systems.
In Computer Architecture, 4096 often appears as a basic unit. For instance, a Memory Page in many systems is 4096 bytes, simplifying Memory Addressing. It's also a common block size for File Systems and Disk Partitions. Furthermore, 4096 pixels wide is a standard resolution in Digital Cinema (often referred to as DCI 4K).
Numerical Properties
Beyond its role in computing, 4096 possesses several interesting mathematical properties:
- It is a Power of Two, specifically 212.
- It is a Perfect Square, as 642 = 4096.
- It is also a Perfect Cube, as 163 = 4096.
- As a power of two, its only prime factor is 2.