What are the numbers divisible by 462?

462, 924, 1386, 1848, 2310, 2772, 3234, 3696, 4158, 4620, 5082, 5544, 6006, 6468, 6930, 7392, 7854, 8316, 8778, 9240, 9702, 10164, 10626, 11088, 11550, 12012, 12474, 12936, 13398, 13860, 14322, 14784, 15246, 15708, 16170, 16632, 17094, 17556, 18018, 18480, 18942, 19404, 19866, 20328, 20790, 21252, 21714, 22176, 22638, 23100, 23562, 24024, 24486, 24948, 25410, 25872, 26334, 26796, 27258, 27720, 28182, 28644, 29106, 29568, 30030, 30492, 30954, 31416, 31878, 32340, 32802, 33264, 33726, 34188, 34650, 35112, 35574, 36036, 36498, 36960, 37422, 37884, 38346, 38808, 39270, 39732, 40194, 40656, 41118, 41580, 42042, 42504, 42966, 43428, 43890, 44352, 44814, 45276, 45738, 46200, 46662, 47124, 47586, 48048, 48510, 48972, 49434, 49896, 50358, 50820, 51282, 51744, 52206, 52668, 53130, 53592, 54054, 54516, 54978, 55440, 55902, 56364, 56826, 57288, 57750, 58212, 58674, 59136, 59598, 60060, 60522, 60984, 61446, 61908, 62370, 62832, 63294, 63756, 64218, 64680, 65142, 65604, 66066, 66528, 66990, 67452, 67914, 68376, 68838, 69300, 69762, 70224, 70686, 71148, 71610, 72072, 72534, 72996, 73458, 73920, 74382, 74844, 75306, 75768, 76230, 76692, 77154, 77616, 78078, 78540, 79002, 79464, 79926, 80388, 80850, 81312, 81774, 82236, 82698, 83160, 83622, 84084, 84546, 85008, 85470, 85932, 86394, 86856, 87318, 87780, 88242, 88704, 89166, 89628, 90090, 90552, 91014, 91476, 91938, 92400, 92862, 93324, 93786, 94248, 94710, 95172, 95634, 96096, 96558, 97020, 97482, 97944, 98406, 98868, 99330, 99792

There is a total of 216 numbers (up to 100000) that are divisible by 462.
The sum of these numbers is 10827432.
The arithmetic mean of these numbers is 50127.

How to find the numbers divisible by 462?

Finding all the numbers that can be divided by 462 is essentially the same as searching for the multiples of 462: if a number N is a multiple of 462, then 462 is a divisor of N.

Indeed, if we assume that N is a multiple of 462, this means there exists an integer k such that:

$k \times 462 = N$

Conversely, the result of N divided by 462 is this same integer k (without any remainder):

$k = \frac{N}{462}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 462 (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 462 less than 100000):

1 × 462 = 462
2 × 462 = 924
3 × 462 = 1386
...
215 × 462 = 99330
216 × 462 = 99792