What are the numbers divisible by 423?

423, 846, 1269, 1692, 2115, 2538, 2961, 3384, 3807, 4230, 4653, 5076, 5499, 5922, 6345, 6768, 7191, 7614, 8037, 8460, 8883, 9306, 9729, 10152, 10575, 10998, 11421, 11844, 12267, 12690, 13113, 13536, 13959, 14382, 14805, 15228, 15651, 16074, 16497, 16920, 17343, 17766, 18189, 18612, 19035, 19458, 19881, 20304, 20727, 21150, 21573, 21996, 22419, 22842, 23265, 23688, 24111, 24534, 24957, 25380, 25803, 26226, 26649, 27072, 27495, 27918, 28341, 28764, 29187, 29610, 30033, 30456, 30879, 31302, 31725, 32148, 32571, 32994, 33417, 33840, 34263, 34686, 35109, 35532, 35955, 36378, 36801, 37224, 37647, 38070, 38493, 38916, 39339, 39762, 40185, 40608, 41031, 41454, 41877, 42300, 42723, 43146, 43569, 43992, 44415, 44838, 45261, 45684, 46107, 46530, 46953, 47376, 47799, 48222, 48645, 49068, 49491, 49914, 50337, 50760, 51183, 51606, 52029, 52452, 52875, 53298, 53721, 54144, 54567, 54990, 55413, 55836, 56259, 56682, 57105, 57528, 57951, 58374, 58797, 59220, 59643, 60066, 60489, 60912, 61335, 61758, 62181, 62604, 63027, 63450, 63873, 64296, 64719, 65142, 65565, 65988, 66411, 66834, 67257, 67680, 68103, 68526, 68949, 69372, 69795, 70218, 70641, 71064, 71487, 71910, 72333, 72756, 73179, 73602, 74025, 74448, 74871, 75294, 75717, 76140, 76563, 76986, 77409, 77832, 78255, 78678, 79101, 79524, 79947, 80370, 80793, 81216, 81639, 82062, 82485, 82908, 83331, 83754, 84177, 84600, 85023, 85446, 85869, 86292, 86715, 87138, 87561, 87984, 88407, 88830, 89253, 89676, 90099, 90522, 90945, 91368, 91791, 92214, 92637, 93060, 93483, 93906, 94329, 94752, 95175, 95598, 96021, 96444, 96867, 97290, 97713, 98136, 98559, 98982, 99405, 99828

There is a total of 236 numbers (up to 100000) that are divisible by 423.
The sum of these numbers is 11829618.
The arithmetic mean of these numbers is 50125.5.

How to find the numbers divisible by 423?

Finding all the numbers that can be divided by 423 is essentially the same as searching for the multiples of 423: if a number N is a multiple of 423, then 423 is a divisor of N.

Indeed, if we assume that N is a multiple of 423, this means there exists an integer k such that:

$k \times 423 = N$

Conversely, the result of N divided by 423 is this same integer k (without any remainder):

$k = \frac{N}{423}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 423 (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 423 less than 100000):

1 × 423 = 423
2 × 423 = 846
3 × 423 = 1269
...
235 × 423 = 99405
236 × 423 = 99828