What are the numbers divisible by 8069?

8069, 16138, 24207, 32276, 40345, 48414, 56483, 64552, 72621, 80690, 88759, 96828

There is a total of 12 numbers (up to 100000) that are divisible by 8069.
The sum of these numbers is 629382.
The arithmetic mean of these numbers is 52448.5.

How to find the numbers divisible by 8069?

Finding all the numbers that can be divided by 8069 is essentially the same as searching for the multiples of 8069: if a number N is a multiple of 8069, then 8069 is a divisor of N.

Indeed, if we assume that N is a multiple of 8069, this means there exists an integer k such that:

$k \times 8069 = N$

Conversely, the result of N divided by 8069 is this same integer k (without any remainder):

$k = \frac{N}{8069}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8069 (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 8069 less than 100000):

1 × 8069 = 8069
2 × 8069 = 16138
3 × 8069 = 24207
...
11 × 8069 = 88759
12 × 8069 = 96828