What are the numbers divisible by 442?

442, 884, 1326, 1768, 2210, 2652, 3094, 3536, 3978, 4420, 4862, 5304, 5746, 6188, 6630, 7072, 7514, 7956, 8398, 8840, 9282, 9724, 10166, 10608, 11050, 11492, 11934, 12376, 12818, 13260, 13702, 14144, 14586, 15028, 15470, 15912, 16354, 16796, 17238, 17680, 18122, 18564, 19006, 19448, 19890, 20332, 20774, 21216, 21658, 22100, 22542, 22984, 23426, 23868, 24310, 24752, 25194, 25636, 26078, 26520, 26962, 27404, 27846, 28288, 28730, 29172, 29614, 30056, 30498, 30940, 31382, 31824, 32266, 32708, 33150, 33592, 34034, 34476, 34918, 35360, 35802, 36244, 36686, 37128, 37570, 38012, 38454, 38896, 39338, 39780, 40222, 40664, 41106, 41548, 41990, 42432, 42874, 43316, 43758, 44200, 44642, 45084, 45526, 45968, 46410, 46852, 47294, 47736, 48178, 48620, 49062, 49504, 49946, 50388, 50830, 51272, 51714, 52156, 52598, 53040, 53482, 53924, 54366, 54808, 55250, 55692, 56134, 56576, 57018, 57460, 57902, 58344, 58786, 59228, 59670, 60112, 60554, 60996, 61438, 61880, 62322, 62764, 63206, 63648, 64090, 64532, 64974, 65416, 65858, 66300, 66742, 67184, 67626, 68068, 68510, 68952, 69394, 69836, 70278, 70720, 71162, 71604, 72046, 72488, 72930, 73372, 73814, 74256, 74698, 75140, 75582, 76024, 76466, 76908, 77350, 77792, 78234, 78676, 79118, 79560, 80002, 80444, 80886, 81328, 81770, 82212, 82654, 83096, 83538, 83980, 84422, 84864, 85306, 85748, 86190, 86632, 87074, 87516, 87958, 88400, 88842, 89284, 89726, 90168, 90610, 91052, 91494, 91936, 92378, 92820, 93262, 93704, 94146, 94588, 95030, 95472, 95914, 96356, 96798, 97240, 97682, 98124, 98566, 99008, 99450, 99892

There is a total of 226 numbers (up to 100000) that are divisible by 442.
The sum of these numbers is 11337742.
The arithmetic mean of these numbers is 50167.

How to find the numbers divisible by 442?

Finding all the numbers that can be divided by 442 is essentially the same as searching for the multiples of 442: if a number N is a multiple of 442, then 442 is a divisor of N.

Indeed, if we assume that N is a multiple of 442, this means there exists an integer k such that:

$k \times 442 = N$

Conversely, the result of N divided by 442 is this same integer k (without any remainder):

$k = \frac{N}{442}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 442 (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 442 less than 100000):

1 × 442 = 442
2 × 442 = 884
3 × 442 = 1326
...
225 × 442 = 99450
226 × 442 = 99892