What are the numbers divisible by 4198?

4198, 8396, 12594, 16792, 20990, 25188, 29386, 33584, 37782, 41980, 46178, 50376, 54574, 58772, 62970, 67168, 71366, 75564, 79762, 83960, 88158, 92356, 96554

There is a total of 23 numbers (up to 100000) that are divisible by 4198.
The sum of these numbers is 1158648.
The arithmetic mean of these numbers is 50376.

How to find the numbers divisible by 4198?

Finding all the numbers that can be divided by 4198 is essentially the same as searching for the multiples of 4198: if a number N is a multiple of 4198, then 4198 is a divisor of N.

Indeed, if we assume that N is a multiple of 4198, this means there exists an integer k such that:

$k \times 4198 = N$

Conversely, the result of N divided by 4198 is this same integer k (without any remainder):

$k = \frac{N}{4198}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4198 (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 4198 less than 100000):

1 × 4198 = 4198
2 × 4198 = 8396
3 × 4198 = 12594
...
22 × 4198 = 92356
23 × 4198 = 96554