What are the numbers divisible by 441?

441, 882, 1323, 1764, 2205, 2646, 3087, 3528, 3969, 4410, 4851, 5292, 5733, 6174, 6615, 7056, 7497, 7938, 8379, 8820, 9261, 9702, 10143, 10584, 11025, 11466, 11907, 12348, 12789, 13230, 13671, 14112, 14553, 14994, 15435, 15876, 16317, 16758, 17199, 17640, 18081, 18522, 18963, 19404, 19845, 20286, 20727, 21168, 21609, 22050, 22491, 22932, 23373, 23814, 24255, 24696, 25137, 25578, 26019, 26460, 26901, 27342, 27783, 28224, 28665, 29106, 29547, 29988, 30429, 30870, 31311, 31752, 32193, 32634, 33075, 33516, 33957, 34398, 34839, 35280, 35721, 36162, 36603, 37044, 37485, 37926, 38367, 38808, 39249, 39690, 40131, 40572, 41013, 41454, 41895, 42336, 42777, 43218, 43659, 44100, 44541, 44982, 45423, 45864, 46305, 46746, 47187, 47628, 48069, 48510, 48951, 49392, 49833, 50274, 50715, 51156, 51597, 52038, 52479, 52920, 53361, 53802, 54243, 54684, 55125, 55566, 56007, 56448, 56889, 57330, 57771, 58212, 58653, 59094, 59535, 59976, 60417, 60858, 61299, 61740, 62181, 62622, 63063, 63504, 63945, 64386, 64827, 65268, 65709, 66150, 66591, 67032, 67473, 67914, 68355, 68796, 69237, 69678, 70119, 70560, 71001, 71442, 71883, 72324, 72765, 73206, 73647, 74088, 74529, 74970, 75411, 75852, 76293, 76734, 77175, 77616, 78057, 78498, 78939, 79380, 79821, 80262, 80703, 81144, 81585, 82026, 82467, 82908, 83349, 83790, 84231, 84672, 85113, 85554, 85995, 86436, 86877, 87318, 87759, 88200, 88641, 89082, 89523, 89964, 90405, 90846, 91287, 91728, 92169, 92610, 93051, 93492, 93933, 94374, 94815, 95256, 95697, 96138, 96579, 97020, 97461, 97902, 98343, 98784, 99225, 99666

There is a total of 226 numbers (up to 100000) that are divisible by 441.
The sum of these numbers is 11312091.
The arithmetic mean of these numbers is 50053.5.

How to find the numbers divisible by 441?

Finding all the numbers that can be divided by 441 is essentially the same as searching for the multiples of 441: if a number N is a multiple of 441, then 441 is a divisor of N.

Indeed, if we assume that N is a multiple of 441, this means there exists an integer k such that:

$k \times 441 = N$

Conversely, the result of N divided by 441 is this same integer k (without any remainder):

$k = \frac{N}{441}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 441 (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 441 less than 100000):

1 × 441 = 441
2 × 441 = 882
3 × 441 = 1323
...
225 × 441 = 99225
226 × 441 = 99666