What are the numbers divisible by 4053?

4053, 8106, 12159, 16212, 20265, 24318, 28371, 32424, 36477, 40530, 44583, 48636, 52689, 56742, 60795, 64848, 68901, 72954, 77007, 81060, 85113, 89166, 93219, 97272

There is a total of 24 numbers (up to 100000) that are divisible by 4053.
The sum of these numbers is 1215900.
The arithmetic mean of these numbers is 50662.5.

How to find the numbers divisible by 4053?

Finding all the numbers that can be divided by 4053 is essentially the same as searching for the multiples of 4053: if a number N is a multiple of 4053, then 4053 is a divisor of N.

Indeed, if we assume that N is a multiple of 4053, this means there exists an integer k such that:

$k \times 4053 = N$

Conversely, the result of N divided by 4053 is this same integer k (without any remainder):

$k = \frac{N}{4053}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4053 (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 4053 less than 100000):

1 × 4053 = 4053
2 × 4053 = 8106
3 × 4053 = 12159
...
23 × 4053 = 93219
24 × 4053 = 97272