What are the numbers divisible by 4197?

4197, 8394, 12591, 16788, 20985, 25182, 29379, 33576, 37773, 41970, 46167, 50364, 54561, 58758, 62955, 67152, 71349, 75546, 79743, 83940, 88137, 92334, 96531

There is a total of 23 numbers (up to 100000) that are divisible by 4197.
The sum of these numbers is 1158372.
The arithmetic mean of these numbers is 50364.

How to find the numbers divisible by 4197?

Finding all the numbers that can be divided by 4197 is essentially the same as searching for the multiples of 4197: if a number N is a multiple of 4197, then 4197 is a divisor of N.

Indeed, if we assume that N is a multiple of 4197, this means there exists an integer k such that:

$k \times 4197 = N$

Conversely, the result of N divided by 4197 is this same integer k (without any remainder):

$k = \frac{N}{4197}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4197 (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 4197 less than 100000):

1 × 4197 = 4197
2 × 4197 = 8394
3 × 4197 = 12591
...
22 × 4197 = 92334
23 × 4197 = 96531