What are the numbers divisible by 6059?

6059, 12118, 18177, 24236, 30295, 36354, 42413, 48472, 54531, 60590, 66649, 72708, 78767, 84826, 90885, 96944

There is a total of 16 numbers (up to 100000) that are divisible by 6059.
The sum of these numbers is 824024.
The arithmetic mean of these numbers is 51501.5.

How to find the numbers divisible by 6059?

Finding all the numbers that can be divided by 6059 is essentially the same as searching for the multiples of 6059: if a number N is a multiple of 6059, then 6059 is a divisor of N.

Indeed, if we assume that N is a multiple of 6059, this means there exists an integer k such that:

$k \times 6059 = N$

Conversely, the result of N divided by 6059 is this same integer k (without any remainder):

$k = \frac{N}{6059}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6059 (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 6059 less than 100000):

1 × 6059 = 6059
2 × 6059 = 12118
3 × 6059 = 18177
...
15 × 6059 = 90885
16 × 6059 = 96944