6143

6143 is a natural number that follows 6142 and precedes 6144. It is an odd integer and, in the standard list of integers, is identified as a prime number, meaning it has no positive divisors other than 1 and itself.

As a prime, 6143 is congruent to 3 modulo 4. Consequently, by Fermat’s theorem on sums of two squares, it cannot be expressed as the sum of two integer squares. The number is also congruent to 15 modulo 16, which is reflected in its hexadecimal representation as 0x17FF and its binary form ending in a long string of ones.

In hexadecimal notation, 6143 equals 0x17FF, since 1·16^3 + 7·16^2 + 15·16 + 15 equals 6143. This gives its conventional decimal, hex, and binary representations a compact relationship useful in computing contexts. The sum of its decimal digits is 14, indicating it is not divisible by 3 or 9. It is not divisible by 2 or 5, and tests against small primes up to 73 do not yield factors, consistent with its primality.

There is no widely noted cultural or scientific designation tied specifically to the number 6143. It is primarily of interest in mathematical contexts, such as discussions of prime numbers and number representations. See also: prime numbers, lists of primes, hexadecimal notation, modular arithmetic.