What are the numbers divisible by 8142?

8142, 16284, 24426, 32568, 40710, 48852, 56994, 65136, 73278, 81420, 89562, 97704

There is a total of 12 numbers (up to 100000) that are divisible by 8142.
The sum of these numbers is 635076.
The arithmetic mean of these numbers is 52923.

How to find the numbers divisible by 8142?

Finding all the numbers that can be divided by 8142 is essentially the same as searching for the multiples of 8142: if a number N is a multiple of 8142, then 8142 is a divisor of N.

Indeed, if we assume that N is a multiple of 8142, this means there exists an integer k such that:

$k \times 8142 = N$

Conversely, the result of N divided by 8142 is this same integer k (without any remainder):

$k = \frac{N}{8142}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8142 (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 8142 less than 100000):

1 × 8142 = 8142
2 × 8142 = 16284
3 × 8142 = 24426
...
11 × 8142 = 89562
12 × 8142 = 97704