The figure shows the relationship between fatigue strength $\text{(S)}$ and fatigue life $\text{(N)}$ of a material. The fatigue strength of the material for a life of $1000$ cycles is $\text{450 MPa}$, while its fatigue strength for a life of $10^{6}$ cycles is $\text{150 MPa}$.
The life of a cylindrical shaft made of this material subjected to an alternating stress of $\text{200 MPa}$ will then be _______ cycles ($\textit{round off to the nearest integer}$).