What are the numbers divisible by 4069?

4069, 8138, 12207, 16276, 20345, 24414, 28483, 32552, 36621, 40690, 44759, 48828, 52897, 56966, 61035, 65104, 69173, 73242, 77311, 81380, 85449, 89518, 93587, 97656

There is a total of 24 numbers (up to 100000) that are divisible by 4069.
The sum of these numbers is 1220700.
The arithmetic mean of these numbers is 50862.5.

How to find the numbers divisible by 4069?

Finding all the numbers that can be divided by 4069 is essentially the same as searching for the multiples of 4069: if a number N is a multiple of 4069, then 4069 is a divisor of N.

Indeed, if we assume that N is a multiple of 4069, this means there exists an integer k such that:

$k \times 4069 = N$

Conversely, the result of N divided by 4069 is this same integer k (without any remainder):

$k = \frac{N}{4069}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4069 (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 4069 less than 100000):

1 × 4069 = 4069
2 × 4069 = 8138
3 × 4069 = 12207
...
23 × 4069 = 93587
24 × 4069 = 97656