16141

16141 is a natural number that follows 16140 and precedes 16142. In mathematics, it is notable for being a prime number, meaning its only positive divisors are 1 and 16141.

As a prime, 16141 has the property that it is congruent to 1 modulo 4. This allows it to be expressed as a sum of two squares: 16141 = 115^2 + 54^2. This representation reflects a classical result in number theory that primes congruent to 1 mod 4 can be written as the sum of two squares.

In various numeral bases, 16141 has the following representations: in hexadecimal it is 0x3F0D, and in octal it is 37415. Its binary form is 11111100001101, a 14-bit representation that corresponds to the decimal value. The decimal digits of the number are 1, 6, 1, 4, 1, giving a five-digit sequence that is not a palindrome.

There is no widely recognized significance attached to 16141 beyond its status as a prime in the 16,000s, though its dual representation as a sum of two squares and its base representations are of general interest in number-theory context. Like other primes, it serves as an example in discussions of primality, modular arithmetic, and representations of numbers in different bases.