1100111010001

1100111010001 is a binary numeral consisting of 13 bits. As a value, it represents the unsigned integer 6609 in decimal. In other common bases it is written as 0x19D1 in hexadecimal and 0o14721 in octal. The bit pattern begins with 11 and ends with 1, making the number odd. The string has seven ones in total, which is its Hamming weight.

Numerical properties include that 6609 is divisible by 3 (6609 = 3 × 2203), and 2203 is a prime number. It is not a power of two and does not align to a full byte boundary, reflecting its 13-bit width rather than 8 or 16 bits.

In practice, binary strings of this length arise in contexts where non-byte-aligned data blocks are used, such as certain digital signal processing or specialized encoding schemes. While 13-bit widths are not standard for general-purpose integers, they appear in targeted applications like some error-detecting codes or communication protocols that employ 13-bit results or identifiers. For example, CRC-13 variants exist in telecommunications, though this particular bit pattern is not tied to a specific, widely recognized standard by itself.

See also: binary numeral system, hexadecimal notation, octal notation, bit width, Hamming weight, CRC-13.