What are the numbers divisible by 813?

813, 1626, 2439, 3252, 4065, 4878, 5691, 6504, 7317, 8130, 8943, 9756, 10569, 11382, 12195, 13008, 13821, 14634, 15447, 16260, 17073, 17886, 18699, 19512, 20325, 21138, 21951, 22764, 23577, 24390, 25203, 26016, 26829, 27642, 28455, 29268, 30081, 30894, 31707, 32520, 33333, 34146, 34959, 35772, 36585, 37398, 38211, 39024, 39837, 40650, 41463, 42276, 43089, 43902, 44715, 45528, 46341, 47154, 47967, 48780, 49593, 50406, 51219, 52032, 52845, 53658, 54471, 55284, 56097, 56910, 57723, 58536, 59349, 60162, 60975, 61788, 62601, 63414, 64227, 65040, 65853, 66666, 67479, 68292, 69105, 69918, 70731, 71544, 72357, 73170, 73983, 74796, 75609, 76422, 77235, 78048, 78861, 79674, 80487, 81300, 82113, 82926, 83739, 84552, 85365, 86178, 86991, 87804, 88617, 89430, 90243, 91056, 91869, 92682, 93495, 94308, 95121, 95934, 96747, 97560, 98373, 99186, 99999

There is a total of 123 numbers (up to 100000) that are divisible by 813.
The sum of these numbers is 6199938.
The arithmetic mean of these numbers is 50406.

How to find the numbers divisible by 813?

Finding all the numbers that can be divided by 813 is essentially the same as searching for the multiples of 813: if a number N is a multiple of 813, then 813 is a divisor of N.

Indeed, if we assume that N is a multiple of 813, this means there exists an integer k such that:

$k \times 813 = N$

Conversely, the result of N divided by 813 is this same integer k (without any remainder):

$k = \frac{N}{813}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 813 (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 813 less than 100000):

1 × 813 = 813
2 × 813 = 1626
3 × 813 = 2439
...
122 × 813 = 99186
123 × 813 = 99999