The population of a space station on a recolonization mission is kept alive by its expandable life support system. Given they are trying to repopulate, the population aboard the station quadruples every 54 years, but the life support system capacity can only be doubled every 54 years. Suppose the initial population is 2 people and the initial life support system has a capacity for 16384 people. How many years will pass before the population reaches the capacity of the support system?