ART

1008 = 2 × 2 × 2 × 2 × 3 × 3 × 7

1008 = 12 × 3 + 45 × 6 + 78 × 9

1008 = 987 + 6 + 5 + 4 + 3 + 2 + 1

1008 = 0^7 − 1^8 − 2^9 − 3^6 + 4^5 + 5^4 + 6^0 + 7^1 + 8^3 + 9^2

1008 divides 55^2 - 1.

a(n) = n*(n+8), n = 28

Sum of 2 Cubes

1008 cannot be written as a sum of 3 squares. (Integers that are not a sum of three squares).

Factors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008

Representations, Binary to Hexadecimal:

1111110000_2
1101100_3
33300_4
13013_5
4400_6
2640_7
1760_8
1340_9
837_11
700_12
5c7_13
520_14
473_15
3f0_16

1007 <--- ---> 1009

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