What are the numbers divisible by 4182?

4182, 8364, 12546, 16728, 20910, 25092, 29274, 33456, 37638, 41820, 46002, 50184, 54366, 58548, 62730, 66912, 71094, 75276, 79458, 83640, 87822, 92004, 96186

There is a total of 23 numbers (up to 100000) that are divisible by 4182.
The sum of these numbers is 1154232.
The arithmetic mean of these numbers is 50184.

How to find the numbers divisible by 4182?

Finding all the numbers that can be divided by 4182 is essentially the same as searching for the multiples of 4182: if a number N is a multiple of 4182, then 4182 is a divisor of N.

Indeed, if we assume that N is a multiple of 4182, this means there exists an integer k such that:

$k \times 4182 = N$

Conversely, the result of N divided by 4182 is this same integer k (without any remainder):

$k = \frac{N}{4182}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4182 (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 4182 less than 100000):

1 × 4182 = 4182
2 × 4182 = 8364
3 × 4182 = 12546
...
22 × 4182 = 92004
23 × 4182 = 96186