6173

6173 is a natural number. It is a prime number and is one less than Kaprekar's constant, 6174, a figure famous in digit-rearrangement processes.

In basic arithmetic terms, 6173 is odd and not divisible by 3 or 5. Its binary representation is 1100000011101, and its hexadecimal representation is 0x181D. The sum of its decimal digits is 17.

Mathematically, 6173 is congruent to 1 modulo 4, and as a prime with p ≡ 1 (mod 4) it can be expressed as a sum of two squares. One such representation is 6173 = 58 squared plus 53 squared.

As a prime number, 6173 participates in general number-theory contexts and serves as a simple example in discussions of primes, modular arithmetic, and representations of integers as sums of squares.