What are the numbers divisible by 444?

444, 888, 1332, 1776, 2220, 2664, 3108, 3552, 3996, 4440, 4884, 5328, 5772, 6216, 6660, 7104, 7548, 7992, 8436, 8880, 9324, 9768, 10212, 10656, 11100, 11544, 11988, 12432, 12876, 13320, 13764, 14208, 14652, 15096, 15540, 15984, 16428, 16872, 17316, 17760, 18204, 18648, 19092, 19536, 19980, 20424, 20868, 21312, 21756, 22200, 22644, 23088, 23532, 23976, 24420, 24864, 25308, 25752, 26196, 26640, 27084, 27528, 27972, 28416, 28860, 29304, 29748, 30192, 30636, 31080, 31524, 31968, 32412, 32856, 33300, 33744, 34188, 34632, 35076, 35520, 35964, 36408, 36852, 37296, 37740, 38184, 38628, 39072, 39516, 39960, 40404, 40848, 41292, 41736, 42180, 42624, 43068, 43512, 43956, 44400, 44844, 45288, 45732, 46176, 46620, 47064, 47508, 47952, 48396, 48840, 49284, 49728, 50172, 50616, 51060, 51504, 51948, 52392, 52836, 53280, 53724, 54168, 54612, 55056, 55500, 55944, 56388, 56832, 57276, 57720, 58164, 58608, 59052, 59496, 59940, 60384, 60828, 61272, 61716, 62160, 62604, 63048, 63492, 63936, 64380, 64824, 65268, 65712, 66156, 66600, 67044, 67488, 67932, 68376, 68820, 69264, 69708, 70152, 70596, 71040, 71484, 71928, 72372, 72816, 73260, 73704, 74148, 74592, 75036, 75480, 75924, 76368, 76812, 77256, 77700, 78144, 78588, 79032, 79476, 79920, 80364, 80808, 81252, 81696, 82140, 82584, 83028, 83472, 83916, 84360, 84804, 85248, 85692, 86136, 86580, 87024, 87468, 87912, 88356, 88800, 89244, 89688, 90132, 90576, 91020, 91464, 91908, 92352, 92796, 93240, 93684, 94128, 94572, 95016, 95460, 95904, 96348, 96792, 97236, 97680, 98124, 98568, 99012, 99456, 99900

There is a total of 225 numbers (up to 100000) that are divisible by 444.
The sum of these numbers is 11288700.
The arithmetic mean of these numbers is 50172.

How to find the numbers divisible by 444?

Finding all the numbers that can be divided by 444 is essentially the same as searching for the multiples of 444: if a number N is a multiple of 444, then 444 is a divisor of N.

Indeed, if we assume that N is a multiple of 444, this means there exists an integer k such that:

$k \times 444 = N$

Conversely, the result of N divided by 444 is this same integer k (without any remainder):

$k = \frac{N}{444}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 444 (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 444 less than 100000):

1 × 444 = 444
2 × 444 = 888
3 × 444 = 1332
...
224 × 444 = 99456
225 × 444 = 99900