2142857143

2142857143 is a natural number expressed in decimal notation as 2,142,857,143. It is notable for containing the well-known six-digit block 142857, which is the repetend of 1/7, appearing as a contiguous substring starting at the second digit of the number.

Numerical properties include that the number is odd and its digit sum is 37, which means it is not divisible by 3 or 9. The number is divisible by 7, as 2,142,857,143 equals 7 × 306,122,449. Therefore, it is composite. The quotient 306,122,449 is itself odd and not divisible by small primes such as 3 or 5, though its complete factorization is not widely documented in simple references.

In terms of magnitude, 2,142,857,143 lies within the 32-bit signed integer range (−2,147,483,648 to 2,147,483,647), so it can be represented without overflow in common programming environments that use 32-bit signed integers.

Context and patterns include the presence of the 142857 block, a digit sequence famous for its connection to the decimal expansion of 1/7. While 2142857143 does not form part of the standard cyclic number set associated with 1/7, the embedding of 142857 within the ten-digit number highlights an incidental pattern rather than a defined mathematical constant or theorem.

In summary, 2142857143 is a 10-digit composite number, divisible by 7, and it contains a historically significant digit block related to 1/7.