Having wrapped up your last project, you begin to pack up when you see a text from Casey. They noticed that you were in the office and were hoping you could do one final check on one of their slow$-$growing bacteria that they are working on$.$ Wanting to be helpful, you check on the results and see that the computer has generated a population model $P(t)=287,163e^{0\mathrm{.}25t}$ where $t$ is measured in days. Casey would like to know how many days will it take for the population to reach one million, assuming this model holds?

Round your answer to the nearest hundredth of a day $($i$.$e$.2$ decimal places$).$

The population will reach one million in days.