What are the numbers divisible by 4026?

4026, 8052, 12078, 16104, 20130, 24156, 28182, 32208, 36234, 40260, 44286, 48312, 52338, 56364, 60390, 64416, 68442, 72468, 76494, 80520, 84546, 88572, 92598, 96624

There is a total of 24 numbers (up to 100000) that are divisible by 4026.
The sum of these numbers is 1207800.
The arithmetic mean of these numbers is 50325.

How to find the numbers divisible by 4026?

Finding all the numbers that can be divided by 4026 is essentially the same as searching for the multiples of 4026: if a number N is a multiple of 4026, then 4026 is a divisor of N.

Indeed, if we assume that N is a multiple of 4026, this means there exists an integer k such that:

$k \times 4026 = N$

Conversely, the result of N divided by 4026 is this same integer k (without any remainder):

$k = \frac{N}{4026}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4026 (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 4026 less than 100000):

1 × 4026 = 4026
2 × 4026 = 8052
3 × 4026 = 12078
...
23 × 4026 = 92598
24 × 4026 = 96624