1000001111101

1000001111101 is a binary numeral consisting of 13 bits. When converted to decimal (base-10), it equals 4221. In other common bases, it is 0x107D in hexadecimal and 10175 in octal.

The binary pattern contains seven ones, giving it a Hamming weight of 7. The number is odd, and its decimal value factors as 3^2 × 7 × 67. This means it is divisible by 9 and by 3, with a quotient of 469 when divided by 9.

In digital contexts, this string can be used as a binary literal in programming languages that support binary notation, often written with a prefix such as 0b (for example, 0b1000001111101). It can also serve as an example value in discussions of binary encoding, bit-pattern analysis, or teaching materials for base conversion and arithmetic.

There is no widely known special significance attached to this specific binary sequence beyond its role as a representative 13-bit pattern. Its value and properties illustrate general concepts in number bases, such as base conversion, factorization, and bit counting, without implying a particular historical or symbolic meaning.