On the first day of college, Sophia tells a rumor to three of her friends. Each of those friends tells the rumor to three of their friends the next day. Each person who hears the rumor on the second day shares it with three more people on the third day, and so on. So, every day, the number of people who hear the rumor is three times the number who heard it the previous day. Determine the number of people who hear the rumor on the sixth day.