What are the numbers divisible by 4074?

4074, 8148, 12222, 16296, 20370, 24444, 28518, 32592, 36666, 40740, 44814, 48888, 52962, 57036, 61110, 65184, 69258, 73332, 77406, 81480, 85554, 89628, 93702, 97776

There is a total of 24 numbers (up to 100000) that are divisible by 4074.
The sum of these numbers is 1222200.
The arithmetic mean of these numbers is 50925.

How to find the numbers divisible by 4074?

Finding all the numbers that can be divided by 4074 is essentially the same as searching for the multiples of 4074: if a number N is a multiple of 4074, then 4074 is a divisor of N.

Indeed, if we assume that N is a multiple of 4074, this means there exists an integer k such that:

$k \times 4074 = N$

Conversely, the result of N divided by 4074 is this same integer k (without any remainder):

$k = \frac{N}{4074}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4074 (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 4074 less than 100000):

1 × 4074 = 4074
2 × 4074 = 8148
3 × 4074 = 12222
...
23 × 4074 = 93702
24 × 4074 = 97776