Yes but it only does this cyclic behavior in base 10, hence while interesting it is merely an artifact, not a natural item of significance like pi or e, there are other base 10 cyclic numbers, and plenty in other bases. Ultimately in millions of numbers its not too surprising to find something 'special' in them, same as if you shuffle a deck of cards millions of times you'll end with a combo that has all the spades in numerical order and another where it perfectly alternates each card res and black. I think you're seeing that on this number.