What are the numbers divisible by 3069?

3069, 6138, 9207, 12276, 15345, 18414, 21483, 24552, 27621, 30690, 33759, 36828, 39897, 42966, 46035, 49104, 52173, 55242, 58311, 61380, 64449, 67518, 70587, 73656, 76725, 79794, 82863, 85932, 89001, 92070, 95139, 98208

There is a total of 32 numbers (up to 100000) that are divisible by 3069.
The sum of these numbers is 1620432.
The arithmetic mean of these numbers is 50638.5.

How to find the numbers divisible by 3069?

Finding all the numbers that can be divided by 3069 is essentially the same as searching for the multiples of 3069: if a number N is a multiple of 3069, then 3069 is a divisor of N.

Indeed, if we assume that N is a multiple of 3069, this means there exists an integer k such that:

$k \times 3069 = N$

Conversely, the result of N divided by 3069 is this same integer k (without any remainder):

$k = \frac{N}{3069}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3069 (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 3069 less than 100000):

1 × 3069 = 3069
2 × 3069 = 6138
3 × 3069 = 9207
...
31 × 3069 = 95139
32 × 3069 = 98208