What are the numbers divisible by 762?

762, 1524, 2286, 3048, 3810, 4572, 5334, 6096, 6858, 7620, 8382, 9144, 9906, 10668, 11430, 12192, 12954, 13716, 14478, 15240, 16002, 16764, 17526, 18288, 19050, 19812, 20574, 21336, 22098, 22860, 23622, 24384, 25146, 25908, 26670, 27432, 28194, 28956, 29718, 30480, 31242, 32004, 32766, 33528, 34290, 35052, 35814, 36576, 37338, 38100, 38862, 39624, 40386, 41148, 41910, 42672, 43434, 44196, 44958, 45720, 46482, 47244, 48006, 48768, 49530, 50292, 51054, 51816, 52578, 53340, 54102, 54864, 55626, 56388, 57150, 57912, 58674, 59436, 60198, 60960, 61722, 62484, 63246, 64008, 64770, 65532, 66294, 67056, 67818, 68580, 69342, 70104, 70866, 71628, 72390, 73152, 73914, 74676, 75438, 76200, 76962, 77724, 78486, 79248, 80010, 80772, 81534, 82296, 83058, 83820, 84582, 85344, 86106, 86868, 87630, 88392, 89154, 89916, 90678, 91440, 92202, 92964, 93726, 94488, 95250, 96012, 96774, 97536, 98298, 99060, 99822

There is a total of 131 numbers (up to 100000) that are divisible by 762.
The sum of these numbers is 6588252.
The arithmetic mean of these numbers is 50292.

How to find the numbers divisible by 762?

Finding all the numbers that can be divided by 762 is essentially the same as searching for the multiples of 762: if a number N is a multiple of 762, then 762 is a divisor of N.

Indeed, if we assume that N is a multiple of 762, this means there exists an integer k such that:

$k \times 762 = N$

Conversely, the result of N divided by 762 is this same integer k (without any remainder):

$k = \frac{N}{762}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 762 (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 762 less than 100000):

1 × 762 = 762
2 × 762 = 1524
3 × 762 = 2286
...
130 × 762 = 99060
131 × 762 = 99822