What are the numbers divisible by 6175?

6175, 12350, 18525, 24700, 30875, 37050, 43225, 49400, 55575, 61750, 67925, 74100, 80275, 86450, 92625, 98800

There is a total of 16 numbers (up to 100000) that are divisible by 6175.
The sum of these numbers is 839800.
The arithmetic mean of these numbers is 52487.5.

How to find the numbers divisible by 6175?

Finding all the numbers that can be divided by 6175 is essentially the same as searching for the multiples of 6175: if a number N is a multiple of 6175, then 6175 is a divisor of N.

Indeed, if we assume that N is a multiple of 6175, this means there exists an integer k such that:

$k \times 6175 = N$

Conversely, the result of N divided by 6175 is this same integer k (without any remainder):

$k = \frac{N}{6175}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6175 (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 6175 less than 100000):

1 × 6175 = 6175
2 × 6175 = 12350
3 × 6175 = 18525
...
15 × 6175 = 92625
16 × 6175 = 98800