16139

16139 is a natural number that lies between 16138 and 16140. In mathematics, it is a prime number, meaning that its only positive divisors are 1 and itself. This property places 16139 in the set of primes that are often examined for patterns, distribution, and other number-theoretic characteristics.

In modular arithmetic, 16139 is congruent to 3 modulo 4 (that is, 16139 ≡ 3 (mod 4)). Consequently, it cannot be expressed as a sum of two squares. The decimal representation of 16139 has digits that sum to 20, indicating that the number is not divisible by 3. Its hexadecimal representation is 0x3F0B, which provides a compact alternative in certain computational contexts.

As a prime of the form 4k+3, 16139 shares properties common to that class of primes, such as implications for representations by certain quadratic forms. Beyond its status as a prime, 16139 does not have widely noted named significance or notable historical events associated with it; it primarily serves as an example and data point within discussions of prime distribution, modular arithmetic, and numeral systems.