What are the numbers divisible by 477?

477, 954, 1431, 1908, 2385, 2862, 3339, 3816, 4293, 4770, 5247, 5724, 6201, 6678, 7155, 7632, 8109, 8586, 9063, 9540, 10017, 10494, 10971, 11448, 11925, 12402, 12879, 13356, 13833, 14310, 14787, 15264, 15741, 16218, 16695, 17172, 17649, 18126, 18603, 19080, 19557, 20034, 20511, 20988, 21465, 21942, 22419, 22896, 23373, 23850, 24327, 24804, 25281, 25758, 26235, 26712, 27189, 27666, 28143, 28620, 29097, 29574, 30051, 30528, 31005, 31482, 31959, 32436, 32913, 33390, 33867, 34344, 34821, 35298, 35775, 36252, 36729, 37206, 37683, 38160, 38637, 39114, 39591, 40068, 40545, 41022, 41499, 41976, 42453, 42930, 43407, 43884, 44361, 44838, 45315, 45792, 46269, 46746, 47223, 47700, 48177, 48654, 49131, 49608, 50085, 50562, 51039, 51516, 51993, 52470, 52947, 53424, 53901, 54378, 54855, 55332, 55809, 56286, 56763, 57240, 57717, 58194, 58671, 59148, 59625, 60102, 60579, 61056, 61533, 62010, 62487, 62964, 63441, 63918, 64395, 64872, 65349, 65826, 66303, 66780, 67257, 67734, 68211, 68688, 69165, 69642, 70119, 70596, 71073, 71550, 72027, 72504, 72981, 73458, 73935, 74412, 74889, 75366, 75843, 76320, 76797, 77274, 77751, 78228, 78705, 79182, 79659, 80136, 80613, 81090, 81567, 82044, 82521, 82998, 83475, 83952, 84429, 84906, 85383, 85860, 86337, 86814, 87291, 87768, 88245, 88722, 89199, 89676, 90153, 90630, 91107, 91584, 92061, 92538, 93015, 93492, 93969, 94446, 94923, 95400, 95877, 96354, 96831, 97308, 97785, 98262, 98739, 99216, 99693

There is a total of 209 numbers (up to 100000) that are divisible by 477.
The sum of these numbers is 10467765.
The arithmetic mean of these numbers is 50085.

How to find the numbers divisible by 477?

Finding all the numbers that can be divided by 477 is essentially the same as searching for the multiples of 477: if a number N is a multiple of 477, then 477 is a divisor of N.

Indeed, if we assume that N is a multiple of 477, this means there exists an integer k such that:

$k \times 477 = N$

Conversely, the result of N divided by 477 is this same integer k (without any remainder):

$k = \frac{N}{477}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 477 (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 477 less than 100000):

1 × 477 = 477
2 × 477 = 954
3 × 477 = 1431
...
208 × 477 = 99216
209 × 477 = 99693