What are the numbers divisible by 4106?

4106, 8212, 12318, 16424, 20530, 24636, 28742, 32848, 36954, 41060, 45166, 49272, 53378, 57484, 61590, 65696, 69802, 73908, 78014, 82120, 86226, 90332, 94438, 98544

There is a total of 24 numbers (up to 100000) that are divisible by 4106.
The sum of these numbers is 1231800.
The arithmetic mean of these numbers is 51325.

How to find the numbers divisible by 4106?

Finding all the numbers that can be divided by 4106 is essentially the same as searching for the multiples of 4106: if a number N is a multiple of 4106, then 4106 is a divisor of N.

Indeed, if we assume that N is a multiple of 4106, this means there exists an integer k such that:

$k \times 4106 = N$

Conversely, the result of N divided by 4106 is this same integer k (without any remainder):

$k = \frac{N}{4106}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4106 (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 4106 less than 100000):

1 × 4106 = 4106
2 × 4106 = 8212
3 × 4106 = 12318
...
23 × 4106 = 94438
24 × 4106 = 98544