What are the numbers divisible by 2026?

2026, 4052, 6078, 8104, 10130, 12156, 14182, 16208, 18234, 20260, 22286, 24312, 26338, 28364, 30390, 32416, 34442, 36468, 38494, 40520, 42546, 44572, 46598, 48624, 50650, 52676, 54702, 56728, 58754, 60780, 62806, 64832, 66858, 68884, 70910, 72936, 74962, 76988, 79014, 81040, 83066, 85092, 87118, 89144, 91170, 93196, 95222, 97248, 99274

There is a total of 49 numbers (up to 100000) that are divisible by 2026.
The sum of these numbers is 2481850.
The arithmetic mean of these numbers is 50650.

How to find the numbers divisible by 2026?

Finding all the numbers that can be divided by 2026 is essentially the same as searching for the multiples of 2026: if a number N is a multiple of 2026, then 2026 is a divisor of N.

Indeed, if we assume that N is a multiple of 2026, this means there exists an integer k such that:

$k \times 2026 = N$

Conversely, the result of N divided by 2026 is this same integer k (without any remainder):

$k = \frac{N}{2026}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2026 (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 2026 less than 100000):

1 × 2026 = 2026
2 × 2026 = 4052
3 × 2026 = 6078
...
48 × 2026 = 97248
49 × 2026 = 99274