What are the numbers divisible by 421?

421, 842, 1263, 1684, 2105, 2526, 2947, 3368, 3789, 4210, 4631, 5052, 5473, 5894, 6315, 6736, 7157, 7578, 7999, 8420, 8841, 9262, 9683, 10104, 10525, 10946, 11367, 11788, 12209, 12630, 13051, 13472, 13893, 14314, 14735, 15156, 15577, 15998, 16419, 16840, 17261, 17682, 18103, 18524, 18945, 19366, 19787, 20208, 20629, 21050, 21471, 21892, 22313, 22734, 23155, 23576, 23997, 24418, 24839, 25260, 25681, 26102, 26523, 26944, 27365, 27786, 28207, 28628, 29049, 29470, 29891, 30312, 30733, 31154, 31575, 31996, 32417, 32838, 33259, 33680, 34101, 34522, 34943, 35364, 35785, 36206, 36627, 37048, 37469, 37890, 38311, 38732, 39153, 39574, 39995, 40416, 40837, 41258, 41679, 42100, 42521, 42942, 43363, 43784, 44205, 44626, 45047, 45468, 45889, 46310, 46731, 47152, 47573, 47994, 48415, 48836, 49257, 49678, 50099, 50520, 50941, 51362, 51783, 52204, 52625, 53046, 53467, 53888, 54309, 54730, 55151, 55572, 55993, 56414, 56835, 57256, 57677, 58098, 58519, 58940, 59361, 59782, 60203, 60624, 61045, 61466, 61887, 62308, 62729, 63150, 63571, 63992, 64413, 64834, 65255, 65676, 66097, 66518, 66939, 67360, 67781, 68202, 68623, 69044, 69465, 69886, 70307, 70728, 71149, 71570, 71991, 72412, 72833, 73254, 73675, 74096, 74517, 74938, 75359, 75780, 76201, 76622, 77043, 77464, 77885, 78306, 78727, 79148, 79569, 79990, 80411, 80832, 81253, 81674, 82095, 82516, 82937, 83358, 83779, 84200, 84621, 85042, 85463, 85884, 86305, 86726, 87147, 87568, 87989, 88410, 88831, 89252, 89673, 90094, 90515, 90936, 91357, 91778, 92199, 92620, 93041, 93462, 93883, 94304, 94725, 95146, 95567, 95988, 96409, 96830, 97251, 97672, 98093, 98514, 98935, 99356, 99777

There is a total of 237 numbers (up to 100000) that are divisible by 421.
The sum of these numbers is 11873463.
The arithmetic mean of these numbers is 50099.

How to find the numbers divisible by 421?

Finding all the numbers that can be divided by 421 is essentially the same as searching for the multiples of 421: if a number N is a multiple of 421, then 421 is a divisor of N.

Indeed, if we assume that N is a multiple of 421, this means there exists an integer k such that:

$k \times 421 = N$

Conversely, the result of N divided by 421 is this same integer k (without any remainder):

$k = \frac{N}{421}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 421 (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 421 less than 100000):

1 × 421 = 421
2 × 421 = 842
3 × 421 = 1263
...
236 × 421 = 99356
237 × 421 = 99777