What are the numbers divisible by 4145?

4145, 8290, 12435, 16580, 20725, 24870, 29015, 33160, 37305, 41450, 45595, 49740, 53885, 58030, 62175, 66320, 70465, 74610, 78755, 82900, 87045, 91190, 95335, 99480

There is a total of 24 numbers (up to 100000) that are divisible by 4145.
The sum of these numbers is 1243500.
The arithmetic mean of these numbers is 51812.5.

How to find the numbers divisible by 4145?

Finding all the numbers that can be divided by 4145 is essentially the same as searching for the multiples of 4145: if a number N is a multiple of 4145, then 4145 is a divisor of N.

Indeed, if we assume that N is a multiple of 4145, this means there exists an integer k such that:

$k \times 4145 = N$

Conversely, the result of N divided by 4145 is this same integer k (without any remainder):

$k = \frac{N}{4145}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4145 (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 4145 less than 100000):

1 × 4145 = 4145
2 × 4145 = 8290
3 × 4145 = 12435
...
23 × 4145 = 95335
24 × 4145 = 99480