4191

4191 is a natural number that comes after 4190 and before 4192. In mathematics, it is an odd composite number with the prime factorization 3 × 11 × 127, making it a sphenic number (the product of three distinct primes). It has eight positive divisors: 1, 3, 11, 33, 127, 381, 1397, and 4191. The sum of its divisors is 6144, which is less than 2 × 4191, so 4191 is a deficient number.

In different bases, 4191 is represented as follows: binary 1000001011111, octal 10137, and hexadecimal 0x105F. The decimal form is 4191, while the hexadecimal and binary representations reflect its bit and nibble structure as a combination of 1s and zeros.

As an example in number theory, 4191 illustrates how a number can be factored into multiple distinct primes and how its divisor count equals 2^3 due to its three prime factors. Beyond these properties, 4191 does not correspond to a widely recognized constant, year, or object in common cultural or scientific contexts. It mainly serves as a case study in prime factorization, divisor structure, and base-conversion representations.