What are the numbers divisible by 4167?

4167, 8334, 12501, 16668, 20835, 25002, 29169, 33336, 37503, 41670, 45837, 50004, 54171, 58338, 62505, 66672, 70839, 75006, 79173, 83340, 87507, 91674, 95841

There is a total of 23 numbers (up to 100000) that are divisible by 4167.
The sum of these numbers is 1150092.
The arithmetic mean of these numbers is 50004.

How to find the numbers divisible by 4167?

Finding all the numbers that can be divided by 4167 is essentially the same as searching for the multiples of 4167: if a number N is a multiple of 4167, then 4167 is a divisor of N.

Indeed, if we assume that N is a multiple of 4167, this means there exists an integer k such that:

$k \times 4167 = N$

Conversely, the result of N divided by 4167 is this same integer k (without any remainder):

$k = \frac{N}{4167}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4167 (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 4167 less than 100000):

1 × 4167 = 4167
2 × 4167 = 8334
3 × 4167 = 12501
...
22 × 4167 = 91674
23 × 4167 = 95841