16384

16384 is a positive integer with several straightforward mathematical properties. It equals 2^14 and, equivalently, 4^7. Because it is 2 to an even power, it is a perfect square, specifically 128^2. Its prime factorization consists solely of the prime 2 raised to the 14th power (2^14). Consequently, 16384 has no odd prime factors.

In numeral representations, 16384 has several standard forms. In binary it is 1 followed by 14 zeros, reflecting its status as a 14th power of two. In hexadecimal it is 0x4000, since 16^3 equals 4096 and 4 × 4096 equals 16384. In octal it is 0o40000 (often written as 040000 with a leading zero in some conventions), aligning with the powers of eight.

In computing, 16384 is commonly encountered as a memory size. It equals 16 kibibytes (16 KiB), where one KiB is 1024 bytes, so 16 × 1024 = 16384 bytes. It also represents the number of distinct values a 14-bit unsigned integer can take, spanning from 0 to 16383. As a power of two, 16384 frequently appears in contexts involving binary addressing, memory allocation, and data representation where block sizes or addressable units are chosen in powers of two.

Overall, 16384 is a notable example of a power of two with simple binary and base representations and practical relevance in computer science and digital systems.