What are the numbers divisible by 976?

976, 1952, 2928, 3904, 4880, 5856, 6832, 7808, 8784, 9760, 10736, 11712, 12688, 13664, 14640, 15616, 16592, 17568, 18544, 19520, 20496, 21472, 22448, 23424, 24400, 25376, 26352, 27328, 28304, 29280, 30256, 31232, 32208, 33184, 34160, 35136, 36112, 37088, 38064, 39040, 40016, 40992, 41968, 42944, 43920, 44896, 45872, 46848, 47824, 48800, 49776, 50752, 51728, 52704, 53680, 54656, 55632, 56608, 57584, 58560, 59536, 60512, 61488, 62464, 63440, 64416, 65392, 66368, 67344, 68320, 69296, 70272, 71248, 72224, 73200, 74176, 75152, 76128, 77104, 78080, 79056, 80032, 81008, 81984, 82960, 83936, 84912, 85888, 86864, 87840, 88816, 89792, 90768, 91744, 92720, 93696, 94672, 95648, 96624, 97600, 98576, 99552

There is a total of 102 numbers (up to 100000) that are divisible by 976.
The sum of these numbers is 5126928.
The arithmetic mean of these numbers is 50264.

How to find the numbers divisible by 976?

Finding all the numbers that can be divided by 976 is essentially the same as searching for the multiples of 976: if a number N is a multiple of 976, then 976 is a divisor of N.

Indeed, if we assume that N is a multiple of 976, this means there exists an integer k such that:

$k \times 976 = N$

Conversely, the result of N divided by 976 is this same integer k (without any remainder):

$k = \frac{N}{976}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 976 (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 976 less than 100000):

1 × 976 = 976
2 × 976 = 1952
3 × 976 = 2928
...
101 × 976 = 98576
102 × 976 = 99552