Suppose a CS faculty is founded in 2022 with 17 professors. It takes each professor 3 years to form and fund a group, and then every 3 years 1 PhD student graduates from that group, gets hired as a professor, and starts forming and funding their own group. In 2028 the first 17 students graduate; in 2031 another 17 students graduate; in 2034 the original 17 professors have another 17 students graduate, and the first 17 students (now professors themselves) have 17 students of their own graduate; and so on. How quickly does the number of the number of academic descendants of the original 17 professors grow? Give the best bound you can.