What are the numbers divisible by 846?

846, 1692, 2538, 3384, 4230, 5076, 5922, 6768, 7614, 8460, 9306, 10152, 10998, 11844, 12690, 13536, 14382, 15228, 16074, 16920, 17766, 18612, 19458, 20304, 21150, 21996, 22842, 23688, 24534, 25380, 26226, 27072, 27918, 28764, 29610, 30456, 31302, 32148, 32994, 33840, 34686, 35532, 36378, 37224, 38070, 38916, 39762, 40608, 41454, 42300, 43146, 43992, 44838, 45684, 46530, 47376, 48222, 49068, 49914, 50760, 51606, 52452, 53298, 54144, 54990, 55836, 56682, 57528, 58374, 59220, 60066, 60912, 61758, 62604, 63450, 64296, 65142, 65988, 66834, 67680, 68526, 69372, 70218, 71064, 71910, 72756, 73602, 74448, 75294, 76140, 76986, 77832, 78678, 79524, 80370, 81216, 82062, 82908, 83754, 84600, 85446, 86292, 87138, 87984, 88830, 89676, 90522, 91368, 92214, 93060, 93906, 94752, 95598, 96444, 97290, 98136, 98982, 99828

There is a total of 118 numbers (up to 100000) that are divisible by 846.
The sum of these numbers is 5939766.
The arithmetic mean of these numbers is 50337.

How to find the numbers divisible by 846?

Finding all the numbers that can be divided by 846 is essentially the same as searching for the multiples of 846: if a number N is a multiple of 846, then 846 is a divisor of N.

Indeed, if we assume that N is a multiple of 846, this means there exists an integer k such that:

$k \times 846 = N$

Conversely, the result of N divided by 846 is this same integer k (without any remainder):

$k = \frac{N}{846}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 846 (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 846 less than 100000):

1 × 846 = 846
2 × 846 = 1692
3 × 846 = 2538
...
117 × 846 = 98982
118 × 846 = 99828