Biologists are counting a nesting colony of seabirds using aerial drone pictures. To ease the counting process, groupings are formed. One biologist makes groups of 15 but notes that there were 7 extra birds. A second biologist counts using groups of 8, then notes there were 3 extra birds. The third biologist counts in groups of 13, then notes there were 4 extra birds. From past experience, the biologists believe that the colony size is between 1,500 and 3,000 birds. Use the Chinese remainder theorem to determine how many seabirds are in the colony?