What are the numbers divisible by 4098?

4098, 8196, 12294, 16392, 20490, 24588, 28686, 32784, 36882, 40980, 45078, 49176, 53274, 57372, 61470, 65568, 69666, 73764, 77862, 81960, 86058, 90156, 94254, 98352

There is a total of 24 numbers (up to 100000) that are divisible by 4098.
The sum of these numbers is 1229400.
The arithmetic mean of these numbers is 51225.

How to find the numbers divisible by 4098?

Finding all the numbers that can be divided by 4098 is essentially the same as searching for the multiples of 4098: if a number N is a multiple of 4098, then 4098 is a divisor of N.

Indeed, if we assume that N is a multiple of 4098, this means there exists an integer k such that:

$k \times 4098 = N$

Conversely, the result of N divided by 4098 is this same integer k (without any remainder):

$k = \frac{N}{4098}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4098 (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 4098 less than 100000):

1 × 4098 = 4098
2 × 4098 = 8196
3 × 4098 = 12294
...
23 × 4098 = 94254
24 × 4098 = 98352