The temperature stability of the quantum magnetic disk constructed on a triangular manowire array is studied by the damage spreading method. Three aspects are considered in order to make the Ising model more realistic. Firstly, we include the long-range interaction between spins. Secondly, we take into account the disorder of the nanowire lengths. At last, we present an estimation of the spin interaction constant through the system coercive force by deriving the relation between the spin interaction constant and the coercive force. It is shown that the longer the spin interaction acts, the more stable the system becomes. On the other hand, the system has greater temperature instability when the disorder degree of the nanowire lengths is increased.