What are the numbers divisible by 4194?

4194, 8388, 12582, 16776, 20970, 25164, 29358, 33552, 37746, 41940, 46134, 50328, 54522, 58716, 62910, 67104, 71298, 75492, 79686, 83880, 88074, 92268, 96462

There is a total of 23 numbers (up to 100000) that are divisible by 4194.
The sum of these numbers is 1157544.
The arithmetic mean of these numbers is 50328.

How to find the numbers divisible by 4194?

Finding all the numbers that can be divided by 4194 is essentially the same as searching for the multiples of 4194: if a number N is a multiple of 4194, then 4194 is a divisor of N.

Indeed, if we assume that N is a multiple of 4194, this means there exists an integer k such that:

$k \times 4194 = N$

Conversely, the result of N divided by 4194 is this same integer k (without any remainder):

$k = \frac{N}{4194}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4194 (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 4194 less than 100000):

1 × 4194 = 4194
2 × 4194 = 8388
3 × 4194 = 12582
...
22 × 4194 = 92268
23 × 4194 = 96462