What are the numbers divisible by 4168?

4168, 8336, 12504, 16672, 20840, 25008, 29176, 33344, 37512, 41680, 45848, 50016, 54184, 58352, 62520, 66688, 70856, 75024, 79192, 83360, 87528, 91696, 95864

There is a total of 23 numbers (up to 100000) that are divisible by 4168.
The sum of these numbers is 1150368.
The arithmetic mean of these numbers is 50016.

How to find the numbers divisible by 4168?

Finding all the numbers that can be divided by 4168 is essentially the same as searching for the multiples of 4168: if a number N is a multiple of 4168, then 4168 is a divisor of N.

Indeed, if we assume that N is a multiple of 4168, this means there exists an integer k such that:

$k \times 4168 = N$

Conversely, the result of N divided by 4168 is this same integer k (without any remainder):

$k = \frac{N}{4168}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4168 (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 4168 less than 100000):

1 × 4168 = 4168
2 × 4168 = 8336
3 × 4168 = 12504
...
22 × 4168 = 91696
23 × 4168 = 95864