What are the numbers divisible by 4188?

4188, 8376, 12564, 16752, 20940, 25128, 29316, 33504, 37692, 41880, 46068, 50256, 54444, 58632, 62820, 67008, 71196, 75384, 79572, 83760, 87948, 92136, 96324

There is a total of 23 numbers (up to 100000) that are divisible by 4188.
The sum of these numbers is 1155888.
The arithmetic mean of these numbers is 50256.

How to find the numbers divisible by 4188?

Finding all the numbers that can be divided by 4188 is essentially the same as searching for the multiples of 4188: if a number N is a multiple of 4188, then 4188 is a divisor of N.

Indeed, if we assume that N is a multiple of 4188, this means there exists an integer k such that:

$k \times 4188 = N$

Conversely, the result of N divided by 4188 is this same integer k (without any remainder):

$k = \frac{N}{4188}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4188 (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 4188 less than 100000):

1 × 4188 = 4188
2 × 4188 = 8376
3 × 4188 = 12564
...
22 × 4188 = 92136
23 × 4188 = 96324