What are the numbers divisible by 4114?

4114, 8228, 12342, 16456, 20570, 24684, 28798, 32912, 37026, 41140, 45254, 49368, 53482, 57596, 61710, 65824, 69938, 74052, 78166, 82280, 86394, 90508, 94622, 98736

There is a total of 24 numbers (up to 100000) that are divisible by 4114.
The sum of these numbers is 1234200.
The arithmetic mean of these numbers is 51425.

How to find the numbers divisible by 4114?

Finding all the numbers that can be divided by 4114 is essentially the same as searching for the multiples of 4114: if a number N is a multiple of 4114, then 4114 is a divisor of N.

Indeed, if we assume that N is a multiple of 4114, this means there exists an integer k such that:

$k \times 4114 = N$

Conversely, the result of N divided by 4114 is this same integer k (without any remainder):

$k = \frac{N}{4114}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4114 (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 4114 less than 100000):

1 × 4114 = 4114
2 × 4114 = 8228
3 × 4114 = 12342
...
23 × 4114 = 94622
24 × 4114 = 98736