All numbers that are divisible by 6?

All numbers that are divisible by 6 are even numbers whose digits add up to 3 or a multiple of 3.

Example : 284 is not wholly divisible by 6 as although it is even, its digits total 2 + 8 + 4 = 14 which is not divisible by 3.

282 is divisible by 6 as it is even and its digits total 12 which is divisible by 3.