What are the numbers divisible by 4172?

4172, 8344, 12516, 16688, 20860, 25032, 29204, 33376, 37548, 41720, 45892, 50064, 54236, 58408, 62580, 66752, 70924, 75096, 79268, 83440, 87612, 91784, 95956

There is a total of 23 numbers (up to 100000) that are divisible by 4172.
The sum of these numbers is 1151472.
The arithmetic mean of these numbers is 50064.

How to find the numbers divisible by 4172?

Finding all the numbers that can be divided by 4172 is essentially the same as searching for the multiples of 4172: if a number N is a multiple of 4172, then 4172 is a divisor of N.

Indeed, if we assume that N is a multiple of 4172, this means there exists an integer k such that:

$k \times 4172 = N$

Conversely, the result of N divided by 4172 is this same integer k (without any remainder):

$k = \frac{N}{4172}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4172 (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 4172 less than 100000):

1 × 4172 = 4172
2 × 4172 = 8344
3 × 4172 = 12516
...
22 × 4172 = 91784
23 × 4172 = 95956