1111011010001

1111011010001 is a binary numeral consisting of 13 bits. In decimal notation it equals 7889, and in hexadecimal it is represented as 0x1ED1. The least significant bit is 1, so the number is odd.

The bit pattern contains eight 1s, giving a Hamming weight of 8. Its value can be expressed as the sum of powers of two: 2^12 + 2^11 + 2^10 + 2^9 + 2^7 + 2^6 + 2^4 + 2^0, which equals 4096 + 2048 + 1024 + 512 + 128 + 64 + 16 + 1 = 7889.

As an integer, 7889 is composite. Its prime factorization is 7^3 × 23 (that is, 7889 = 343 × 23). This indicates the number has multiple divisors and is not a prime.

The string does not correspond to a well-known constant or named object in mathematics or computing. It serves as a concrete example of binary-to-decimal conversion and binary-pattern interpretation. In teaching or documentation, it may be used to illustrate 13-bit binary values, hexadecimal equivalents, and basic arithmetic with binary numbers.