Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 6 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
N, N+1, N+2, N+3, N+4, N+5, N+6
N+ N+1+ N+2+ N+3+ N+4+ N+5+ N+6=6(N+6)