13864

13864 is a four-digit integer. It is an even number, falling between 13863 and 13865. Its prime factorization is 2 x 2 x 3466, which simplifies to 2^2 x 3466. The number 3466 is itself not prime, as it is divisible by 2, resulting in 2 x 1733. Therefore, the full prime factorization of 13864 is 2 x 2 x 2 x 1733, or 2^3 x 1733. The number 1733 is a prime number.

In Roman numerals, 13864 would be represented as perhaps XIII DCLXIV, though such a direct translation is uncommon for large numbers and often involves subtractive notation. Its representation in binary is 11011000101000. In hexadecimal, 13864 is written as 3628.

The number 13864 does not hold any widely recognized mathematical significance such as being a perfect number or a Fibonacci number. It is not a common date or historical event marker. Its use would typically be in contexts requiring a specific numerical identifier or value within a larger system.