 Every Ducci sequence therefore eventually becomes periodic.If "n" is a power of 2 every Ducci sequence eventually reaches the "n"-tuple (0,0...,0) in a finite number of steps.If "n" is "not" a power of two, a Ducci sequence will either eventually reach an "n"-tuple of zeros or will settle into a periodic loop of 'binary' "n"-tuples; that is, "n"-tuples of form formula_3, formula_4 is a constant, and formula_5.