What are the numbers divisible by 8052?

8052, 16104, 24156, 32208, 40260, 48312, 56364, 64416, 72468, 80520, 88572, 96624

There is a total of 12 numbers (up to 100000) that are divisible by 8052.
The sum of these numbers is 628056.
The arithmetic mean of these numbers is 52338.

How to find the numbers divisible by 8052?

Finding all the numbers that can be divided by 8052 is essentially the same as searching for the multiples of 8052: if a number N is a multiple of 8052, then 8052 is a divisor of N.

Indeed, if we assume that N is a multiple of 8052, this means there exists an integer k such that:

$k \times 8052 = N$

Conversely, the result of N divided by 8052 is this same integer k (without any remainder):

$k = \frac{N}{8052}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8052 (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 8052 less than 100000):

1 × 8052 = 8052
2 × 8052 = 16104
3 × 8052 = 24156
...
11 × 8052 = 88572
12 × 8052 = 96624