What are the numbers divisible by 822?

822, 1644, 2466, 3288, 4110, 4932, 5754, 6576, 7398, 8220, 9042, 9864, 10686, 11508, 12330, 13152, 13974, 14796, 15618, 16440, 17262, 18084, 18906, 19728, 20550, 21372, 22194, 23016, 23838, 24660, 25482, 26304, 27126, 27948, 28770, 29592, 30414, 31236, 32058, 32880, 33702, 34524, 35346, 36168, 36990, 37812, 38634, 39456, 40278, 41100, 41922, 42744, 43566, 44388, 45210, 46032, 46854, 47676, 48498, 49320, 50142, 50964, 51786, 52608, 53430, 54252, 55074, 55896, 56718, 57540, 58362, 59184, 60006, 60828, 61650, 62472, 63294, 64116, 64938, 65760, 66582, 67404, 68226, 69048, 69870, 70692, 71514, 72336, 73158, 73980, 74802, 75624, 76446, 77268, 78090, 78912, 79734, 80556, 81378, 82200, 83022, 83844, 84666, 85488, 86310, 87132, 87954, 88776, 89598, 90420, 91242, 92064, 92886, 93708, 94530, 95352, 96174, 96996, 97818, 98640, 99462

There is a total of 121 numbers (up to 100000) that are divisible by 822.
The sum of these numbers is 6067182.
The arithmetic mean of these numbers is 50142.

How to find the numbers divisible by 822?

Finding all the numbers that can be divided by 822 is essentially the same as searching for the multiples of 822: if a number N is a multiple of 822, then 822 is a divisor of N.

Indeed, if we assume that N is a multiple of 822, this means there exists an integer k such that:

$k \times 822 = N$

Conversely, the result of N divided by 822 is this same integer k (without any remainder):

$k = \frac{N}{822}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 822 (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 822 less than 100000):

1 × 822 = 822
2 × 822 = 1644
3 × 822 = 2466
...
120 × 822 = 98640
121 × 822 = 99462