What are the numbers divisible by 4127?

4127, 8254, 12381, 16508, 20635, 24762, 28889, 33016, 37143, 41270, 45397, 49524, 53651, 57778, 61905, 66032, 70159, 74286, 78413, 82540, 86667, 90794, 94921, 99048

There is a total of 24 numbers (up to 100000) that are divisible by 4127.
The sum of these numbers is 1238100.
The arithmetic mean of these numbers is 51587.5.

How to find the numbers divisible by 4127?

Finding all the numbers that can be divided by 4127 is essentially the same as searching for the multiples of 4127: if a number N is a multiple of 4127, then 4127 is a divisor of N.

Indeed, if we assume that N is a multiple of 4127, this means there exists an integer k such that:

$k \times 4127 = N$

Conversely, the result of N divided by 4127 is this same integer k (without any remainder):

$k = \frac{N}{4127}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4127 (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 4127 less than 100000):

1 × 4127 = 4127
2 × 4127 = 8254
3 × 4127 = 12381
...
23 × 4127 = 94921
24 × 4127 = 99048