What are the numbers divisible by 8009?

8009, 16018, 24027, 32036, 40045, 48054, 56063, 64072, 72081, 80090, 88099, 96108

There is a total of 12 numbers (up to 100000) that are divisible by 8009.
The sum of these numbers is 624702.
The arithmetic mean of these numbers is 52058.5.

How to find the numbers divisible by 8009?

Finding all the numbers that can be divided by 8009 is essentially the same as searching for the multiples of 8009: if a number N is a multiple of 8009, then 8009 is a divisor of N.

Indeed, if we assume that N is a multiple of 8009, this means there exists an integer k such that:

$k \times 8009 = N$

Conversely, the result of N divided by 8009 is this same integer k (without any remainder):

$k = \frac{N}{8009}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8009 (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 8009 less than 100000):

1 × 8009 = 8009
2 × 8009 = 16018
3 × 8009 = 24027
...
11 × 8009 = 88099
12 × 8009 = 96108