What are the numbers divisible by 4175?

4175, 8350, 12525, 16700, 20875, 25050, 29225, 33400, 37575, 41750, 45925, 50100, 54275, 58450, 62625, 66800, 70975, 75150, 79325, 83500, 87675, 91850, 96025

There is a total of 23 numbers (up to 100000) that are divisible by 4175.
The sum of these numbers is 1152300.
The arithmetic mean of these numbers is 50100.

How to find the numbers divisible by 4175?

Finding all the numbers that can be divided by 4175 is essentially the same as searching for the multiples of 4175: if a number N is a multiple of 4175, then 4175 is a divisor of N.

Indeed, if we assume that N is a multiple of 4175, this means there exists an integer k such that:

$k \times 4175 = N$

Conversely, the result of N divided by 4175 is this same integer k (without any remainder):

$k = \frac{N}{4175}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4175 (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 4175 less than 100000):

1 × 4175 = 4175
2 × 4175 = 8350
3 × 4175 = 12525
...
22 × 4175 = 91850
23 × 4175 = 96025