What are the numbers divisible by 6065?

6065, 12130, 18195, 24260, 30325, 36390, 42455, 48520, 54585, 60650, 66715, 72780, 78845, 84910, 90975, 97040

There is a total of 16 numbers (up to 100000) that are divisible by 6065.
The sum of these numbers is 824840.
The arithmetic mean of these numbers is 51552.5.

How to find the numbers divisible by 6065?

Finding all the numbers that can be divided by 6065 is essentially the same as searching for the multiples of 6065: if a number N is a multiple of 6065, then 6065 is a divisor of N.

Indeed, if we assume that N is a multiple of 6065, this means there exists an integer k such that:

$k \times 6065 = N$

Conversely, the result of N divided by 6065 is this same integer k (without any remainder):

$k = \frac{N}{6065}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6065 (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 6065 less than 100000):

1 × 6065 = 6065
2 × 6065 = 12130
3 × 6065 = 18195
...
15 × 6065 = 90975
16 × 6065 = 97040