1142857

1142857 is a notable number in mathematics, particularly in the context of modular arithmetic and number theory. It is known for its unique property when multiplied by any digit from 1 to 9, the result is a number that is a permutation of the digits of 1142857. For example, 1142857 multiplied by 2 equals 2285714, which is a permutation of the digits of 1142857. This property makes 1142857 a cyclic number. The number 1142857 is also known as the "repunit" 142857, as it is composed of the repeating digit 1. It is the smallest number with this property and is often used as an example in mathematical literature to illustrate concepts related to cyclic numbers and modular arithmetic. The number 1142857 is also notable for its appearance in the context of the Fibonacci sequence, where it is the 14th Fibonacci number.