What are the numbers divisible by 3066?

3066, 6132, 9198, 12264, 15330, 18396, 21462, 24528, 27594, 30660, 33726, 36792, 39858, 42924, 45990, 49056, 52122, 55188, 58254, 61320, 64386, 67452, 70518, 73584, 76650, 79716, 82782, 85848, 88914, 91980, 95046, 98112

There is a total of 32 numbers (up to 100000) that are divisible by 3066.
The sum of these numbers is 1618848.
The arithmetic mean of these numbers is 50589.

How to find the numbers divisible by 3066?

Finding all the numbers that can be divided by 3066 is essentially the same as searching for the multiples of 3066: if a number N is a multiple of 3066, then 3066 is a divisor of N.

Indeed, if we assume that N is a multiple of 3066, this means there exists an integer k such that:

$k \times 3066 = N$

Conversely, the result of N divided by 3066 is this same integer k (without any remainder):

$k = \frac{N}{3066}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3066 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 3066 less than 100000):

1 × 3066 = 3066
2 × 3066 = 6132
3 × 3066 = 9198
...
31 × 3066 = 95046
32 × 3066 = 98112