What are the numbers divisible by 8011?

8011, 16022, 24033, 32044, 40055, 48066, 56077, 64088, 72099, 80110, 88121, 96132

There is a total of 12 numbers (up to 100000) that are divisible by 8011.
The sum of these numbers is 624858.
The arithmetic mean of these numbers is 52071.5.

How to find the numbers divisible by 8011?

Finding all the numbers that can be divided by 8011 is essentially the same as searching for the multiples of 8011: if a number N is a multiple of 8011, then 8011 is a divisor of N.

Indeed, if we assume that N is a multiple of 8011, this means there exists an integer k such that:

$k \times 8011 = N$

Conversely, the result of N divided by 8011 is this same integer k (without any remainder):

$k = \frac{N}{8011}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8011 (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 8011 less than 100000):

1 × 8011 = 8011
2 × 8011 = 16022
3 × 8011 = 24033
...
11 × 8011 = 88121
12 × 8011 = 96132