What are the numbers divisible by 826?

826, 1652, 2478, 3304, 4130, 4956, 5782, 6608, 7434, 8260, 9086, 9912, 10738, 11564, 12390, 13216, 14042, 14868, 15694, 16520, 17346, 18172, 18998, 19824, 20650, 21476, 22302, 23128, 23954, 24780, 25606, 26432, 27258, 28084, 28910, 29736, 30562, 31388, 32214, 33040, 33866, 34692, 35518, 36344, 37170, 37996, 38822, 39648, 40474, 41300, 42126, 42952, 43778, 44604, 45430, 46256, 47082, 47908, 48734, 49560, 50386, 51212, 52038, 52864, 53690, 54516, 55342, 56168, 56994, 57820, 58646, 59472, 60298, 61124, 61950, 62776, 63602, 64428, 65254, 66080, 66906, 67732, 68558, 69384, 70210, 71036, 71862, 72688, 73514, 74340, 75166, 75992, 76818, 77644, 78470, 79296, 80122, 80948, 81774, 82600, 83426, 84252, 85078, 85904, 86730, 87556, 88382, 89208, 90034, 90860, 91686, 92512, 93338, 94164, 94990, 95816, 96642, 97468, 98294, 99120, 99946

There is a total of 121 numbers (up to 100000) that are divisible by 826.
The sum of these numbers is 6096706.
The arithmetic mean of these numbers is 50386.

How to find the numbers divisible by 826?

Finding all the numbers that can be divided by 826 is essentially the same as searching for the multiples of 826: if a number N is a multiple of 826, then 826 is a divisor of N.

Indeed, if we assume that N is a multiple of 826, this means there exists an integer k such that:

$k \times 826 = N$

Conversely, the result of N divided by 826 is this same integer k (without any remainder):

$k = \frac{N}{826}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 826 (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 826 less than 100000):

1 × 826 = 826
2 × 826 = 1652
3 × 826 = 2478
...
120 × 826 = 99120
121 × 826 = 99946