What are the numbers divisible by 561?

561, 1122, 1683, 2244, 2805, 3366, 3927, 4488, 5049, 5610, 6171, 6732, 7293, 7854, 8415, 8976, 9537, 10098, 10659, 11220, 11781, 12342, 12903, 13464, 14025, 14586, 15147, 15708, 16269, 16830, 17391, 17952, 18513, 19074, 19635, 20196, 20757, 21318, 21879, 22440, 23001, 23562, 24123, 24684, 25245, 25806, 26367, 26928, 27489, 28050, 28611, 29172, 29733, 30294, 30855, 31416, 31977, 32538, 33099, 33660, 34221, 34782, 35343, 35904, 36465, 37026, 37587, 38148, 38709, 39270, 39831, 40392, 40953, 41514, 42075, 42636, 43197, 43758, 44319, 44880, 45441, 46002, 46563, 47124, 47685, 48246, 48807, 49368, 49929, 50490, 51051, 51612, 52173, 52734, 53295, 53856, 54417, 54978, 55539, 56100, 56661, 57222, 57783, 58344, 58905, 59466, 60027, 60588, 61149, 61710, 62271, 62832, 63393, 63954, 64515, 65076, 65637, 66198, 66759, 67320, 67881, 68442, 69003, 69564, 70125, 70686, 71247, 71808, 72369, 72930, 73491, 74052, 74613, 75174, 75735, 76296, 76857, 77418, 77979, 78540, 79101, 79662, 80223, 80784, 81345, 81906, 82467, 83028, 83589, 84150, 84711, 85272, 85833, 86394, 86955, 87516, 88077, 88638, 89199, 89760, 90321, 90882, 91443, 92004, 92565, 93126, 93687, 94248, 94809, 95370, 95931, 96492, 97053, 97614, 98175, 98736, 99297, 99858

There is a total of 178 numbers (up to 100000) that are divisible by 561.
The sum of these numbers is 8937291.
The arithmetic mean of these numbers is 50209.5.

How to find the numbers divisible by 561?

Finding all the numbers that can be divided by 561 is essentially the same as searching for the multiples of 561: if a number N is a multiple of 561, then 561 is a divisor of N.

Indeed, if we assume that N is a multiple of 561, this means there exists an integer k such that:

$k \times 561 = N$

Conversely, the result of N divided by 561 is this same integer k (without any remainder):

$k = \frac{N}{561}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 561 (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 561 less than 100000):

1 × 561 = 561
2 × 561 = 1122
3 × 561 = 1683
...
177 × 561 = 99297
178 × 561 = 99858