What are the numbers divisible by 4112?

4112, 8224, 12336, 16448, 20560, 24672, 28784, 32896, 37008, 41120, 45232, 49344, 53456, 57568, 61680, 65792, 69904, 74016, 78128, 82240, 86352, 90464, 94576, 98688

There is a total of 24 numbers (up to 100000) that are divisible by 4112.
The sum of these numbers is 1233600.
The arithmetic mean of these numbers is 51400.

How to find the numbers divisible by 4112?

Finding all the numbers that can be divided by 4112 is essentially the same as searching for the multiples of 4112: if a number N is a multiple of 4112, then 4112 is a divisor of N.

Indeed, if we assume that N is a multiple of 4112, this means there exists an integer k such that:

$k \times 4112 = N$

Conversely, the result of N divided by 4112 is this same integer k (without any remainder):

$k = \frac{N}{4112}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4112 (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 4112 less than 100000):

1 × 4112 = 4112
2 × 4112 = 8224
3 × 4112 = 12336
...
23 × 4112 = 94576
24 × 4112 = 98688