What are the numbers divisible by 706?

706, 1412, 2118, 2824, 3530, 4236, 4942, 5648, 6354, 7060, 7766, 8472, 9178, 9884, 10590, 11296, 12002, 12708, 13414, 14120, 14826, 15532, 16238, 16944, 17650, 18356, 19062, 19768, 20474, 21180, 21886, 22592, 23298, 24004, 24710, 25416, 26122, 26828, 27534, 28240, 28946, 29652, 30358, 31064, 31770, 32476, 33182, 33888, 34594, 35300, 36006, 36712, 37418, 38124, 38830, 39536, 40242, 40948, 41654, 42360, 43066, 43772, 44478, 45184, 45890, 46596, 47302, 48008, 48714, 49420, 50126, 50832, 51538, 52244, 52950, 53656, 54362, 55068, 55774, 56480, 57186, 57892, 58598, 59304, 60010, 60716, 61422, 62128, 62834, 63540, 64246, 64952, 65658, 66364, 67070, 67776, 68482, 69188, 69894, 70600, 71306, 72012, 72718, 73424, 74130, 74836, 75542, 76248, 76954, 77660, 78366, 79072, 79778, 80484, 81190, 81896, 82602, 83308, 84014, 84720, 85426, 86132, 86838, 87544, 88250, 88956, 89662, 90368, 91074, 91780, 92486, 93192, 93898, 94604, 95310, 96016, 96722, 97428, 98134, 98840, 99546

There is a total of 141 numbers (up to 100000) that are divisible by 706.
The sum of these numbers is 7067766.
The arithmetic mean of these numbers is 50126.

How to find the numbers divisible by 706?

Finding all the numbers that can be divided by 706 is essentially the same as searching for the multiples of 706: if a number N is a multiple of 706, then 706 is a divisor of N.

Indeed, if we assume that N is a multiple of 706, this means there exists an integer k such that:

$k \times 706 = N$

Conversely, the result of N divided by 706 is this same integer k (without any remainder):

$k = \frac{N}{706}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 706 (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 706 less than 100000):

1 × 706 = 706
2 × 706 = 1412
3 × 706 = 2118
...
140 × 706 = 98840
141 × 706 = 99546