What are the numbers divisible by 814?

814, 1628, 2442, 3256, 4070, 4884, 5698, 6512, 7326, 8140, 8954, 9768, 10582, 11396, 12210, 13024, 13838, 14652, 15466, 16280, 17094, 17908, 18722, 19536, 20350, 21164, 21978, 22792, 23606, 24420, 25234, 26048, 26862, 27676, 28490, 29304, 30118, 30932, 31746, 32560, 33374, 34188, 35002, 35816, 36630, 37444, 38258, 39072, 39886, 40700, 41514, 42328, 43142, 43956, 44770, 45584, 46398, 47212, 48026, 48840, 49654, 50468, 51282, 52096, 52910, 53724, 54538, 55352, 56166, 56980, 57794, 58608, 59422, 60236, 61050, 61864, 62678, 63492, 64306, 65120, 65934, 66748, 67562, 68376, 69190, 70004, 70818, 71632, 72446, 73260, 74074, 74888, 75702, 76516, 77330, 78144, 78958, 79772, 80586, 81400, 82214, 83028, 83842, 84656, 85470, 86284, 87098, 87912, 88726, 89540, 90354, 91168, 91982, 92796, 93610, 94424, 95238, 96052, 96866, 97680, 98494, 99308

There is a total of 122 numbers (up to 100000) that are divisible by 814.
The sum of these numbers is 6107442.
The arithmetic mean of these numbers is 50061.

How to find the numbers divisible by 814?

Finding all the numbers that can be divided by 814 is essentially the same as searching for the multiples of 814: if a number N is a multiple of 814, then 814 is a divisor of N.

Indeed, if we assume that N is a multiple of 814, this means there exists an integer k such that:

$k \times 814 = N$

Conversely, the result of N divided by 814 is this same integer k (without any remainder):

$k = \frac{N}{814}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 814 (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 814 less than 100000):

1 × 814 = 814
2 × 814 = 1628
3 × 814 = 2442
...
121 × 814 = 98494
122 × 814 = 99308