What are the numbers divisible by 4143?

4143, 8286, 12429, 16572, 20715, 24858, 29001, 33144, 37287, 41430, 45573, 49716, 53859, 58002, 62145, 66288, 70431, 74574, 78717, 82860, 87003, 91146, 95289, 99432

There is a total of 24 numbers (up to 100000) that are divisible by 4143.
The sum of these numbers is 1242900.
The arithmetic mean of these numbers is 51787.5.

How to find the numbers divisible by 4143?

Finding all the numbers that can be divided by 4143 is essentially the same as searching for the multiples of 4143: if a number N is a multiple of 4143, then 4143 is a divisor of N.

Indeed, if we assume that N is a multiple of 4143, this means there exists an integer k such that:

$k \times 4143 = N$

Conversely, the result of N divided by 4143 is this same integer k (without any remainder):

$k = \frac{N}{4143}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4143 (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 4143 less than 100000):

1 × 4143 = 4143
2 × 4143 = 8286
3 × 4143 = 12429
...
23 × 4143 = 95289
24 × 4143 = 99432