What are the numbers divisible by 5170?

5170, 10340, 15510, 20680, 25850, 31020, 36190, 41360, 46530, 51700, 56870, 62040, 67210, 72380, 77550, 82720, 87890, 93060, 98230

There is a total of 19 numbers (up to 100000) that are divisible by 5170.
The sum of these numbers is 982300.
The arithmetic mean of these numbers is 51700.

How to find the numbers divisible by 5170?

Finding all the numbers that can be divided by 5170 is essentially the same as searching for the multiples of 5170: if a number N is a multiple of 5170, then 5170 is a divisor of N.

Indeed, if we assume that N is a multiple of 5170, this means there exists an integer k such that:

$k \times 5170 = N$

Conversely, the result of N divided by 5170 is this same integer k (without any remainder):

$k = \frac{N}{5170}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5170 (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 5170 less than 100000):

1 × 5170 = 5170
2 × 5170 = 10340
3 × 5170 = 15510
...
18 × 5170 = 93060
19 × 5170 = 98230