4096

4096 is the natural number that follows 4095 and precedes 4097. It is a power of two, equal to 2^12, and can be expressed as 64^2, 16^3, or 8^4. In binary it is written as 1000000000000; in octal as 010000; and in hexadecimal as 0x1000. Its divisors are all powers of two from 2^0 up to 2^12, giving 13 positive divisors.

In mathematics, 4096 is a highly regular number due to its prime factorization of 2^12. This makes it a convenient example for illustrating properties of powers of two, including representations in multiple bases and the way binary arithmetic scales with exponent.

In computing and digital systems, 4096 bytes equals 4 kilobytes (4 KiB). This size is a common unit for memory pages, cache lines, and filesystem blocks, reflecting the convenience of binary alignment. Many architectures use page sizes near 4 KiB, helping address calculation and memory management. Some storage devices also support 4 KiB sectors, and 12-bit addressing can uniquely identify 4096 locations.

Other uses and representations include 4096×2160 as a standard 4K cinema resolution (DCI 4K), and 12-bit color depths that yield 4096 distinct colors. Because 4096 = 2^12, it serves as a familiar benchmark in discussions of data sizes, addressing, and digital media formats.