What are the numbers divisible by 4173?

4173, 8346, 12519, 16692, 20865, 25038, 29211, 33384, 37557, 41730, 45903, 50076, 54249, 58422, 62595, 66768, 70941, 75114, 79287, 83460, 87633, 91806, 95979

There is a total of 23 numbers (up to 100000) that are divisible by 4173.
The sum of these numbers is 1151748.
The arithmetic mean of these numbers is 50076.

How to find the numbers divisible by 4173?

Finding all the numbers that can be divided by 4173 is essentially the same as searching for the multiples of 4173: if a number N is a multiple of 4173, then 4173 is a divisor of N.

Indeed, if we assume that N is a multiple of 4173, this means there exists an integer k such that:

$k \times 4173 = N$

Conversely, the result of N divided by 4173 is this same integer k (without any remainder):

$k = \frac{N}{4173}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4173 (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 4173 less than 100000):

1 × 4173 = 4173
2 × 4173 = 8346
3 × 4173 = 12519
...
22 × 4173 = 91806
23 × 4173 = 95979