What are the numbers divisible by 4196?

4196, 8392, 12588, 16784, 20980, 25176, 29372, 33568, 37764, 41960, 46156, 50352, 54548, 58744, 62940, 67136, 71332, 75528, 79724, 83920, 88116, 92312, 96508

There is a total of 23 numbers (up to 100000) that are divisible by 4196.
The sum of these numbers is 1158096.
The arithmetic mean of these numbers is 50352.

How to find the numbers divisible by 4196?

Finding all the numbers that can be divided by 4196 is essentially the same as searching for the multiples of 4196: if a number N is a multiple of 4196, then 4196 is a divisor of N.

Indeed, if we assume that N is a multiple of 4196, this means there exists an integer k such that:

$k \times 4196 = N$

Conversely, the result of N divided by 4196 is this same integer k (without any remainder):

$k = \frac{N}{4196}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4196 (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 4196 less than 100000):

1 × 4196 = 4196
2 × 4196 = 8392
3 × 4196 = 12588
...
22 × 4196 = 92312
23 × 4196 = 96508