What are the numbers divisible by 4165?

4165, 8330, 12495, 16660, 20825, 24990, 29155, 33320, 37485, 41650, 45815, 49980, 54145, 58310, 62475, 66640, 70805, 74970, 79135, 83300, 87465, 91630, 95795, 99960

There is a total of 24 numbers (up to 100000) that are divisible by 4165.
The sum of these numbers is 1249500.
The arithmetic mean of these numbers is 52062.5.

How to find the numbers divisible by 4165?

Finding all the numbers that can be divided by 4165 is essentially the same as searching for the multiples of 4165: if a number N is a multiple of 4165, then 4165 is a divisor of N.

Indeed, if we assume that N is a multiple of 4165, this means there exists an integer k such that:

$k \times 4165 = N$

Conversely, the result of N divided by 4165 is this same integer k (without any remainder):

$k = \frac{N}{4165}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4165 (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 4165 less than 100000):

1 × 4165 = 4165
2 × 4165 = 8330
3 × 4165 = 12495
...
23 × 4165 = 95795
24 × 4165 = 99960