32766

32766 is a natural number that sits between 32765 and 32767. In binary it is 0b0111111111111110 and in hexadecimal it is 0x7FFE. It equals 2^15 − 2, highlighting its proximity to a power of two.

The prime factorization of 32766 is 2 × 3 × 43 × 127. This shows that it is a composite number with four prime factors, and it can also be expressed as 2 × 16383, since 16383 equals 3 × 43 × 127.

In computing, 32766 has particular relevance due to its position near the limits of common integer widths. In 16-bit two's complement representation, 32766 is the second-largest positive value (the largest being 32767). For 15-bit unsigned integers, it is also the second-largest value, with 32767 being the maximum. Its binary and hex forms illustrate a pattern of almost-full ones with a single zero at the least significant bit.

As a near-maximum value in several fixed-width integer contexts, 32766 is often used in examples and tests involving overflow, bit masking, and boundary conditions in software and digital systems. It serves as a concrete illustration of how adjacent values relate to the representation limits of common data types.