Researchers studied the replication behavior of a certain virus. From an initial 1,000 copies of the virus, the researchers found that the virus population was increasing at a rate of 14% every 4 hours. The number of viruses N is given by
the following model, where t is the number of hours after the study began with the 1,000 copies of the virus.
$$N = 1,000(1.14)^{t/4}$$
Use the model to predict the number of viruses in 17 hours. Round to the nearest whole number.
X viruses
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