556 = 5(6) + 5 = 3510
So....in base 10, we are summing all the integers from 1 to 35
This is (35 ) ( 36) / 2 = 630
Converting this back to base 6
630 / 6 = 105 R 0
105 / 6 = 17 R 3
17 / 6 = 2 R 5
2 / 6 = 0 R 2
Reading the remainders from bottom to top
25306
