ART

63 = 3 × 3 × 7

63 = 1 + 23 + 4 + 5 + 6 + 7 + 8 + 9

63 = 9 + 8 + 7 + 6 + 5 + 4 + 3 + 21

63 = 0^5 + 18^ − 2^7 − 3^9 + 4^3 + 5^6 + 6^1 + 7^0 + 8^4 + 9^2

63 = (1 + 1 + 1) × (11 + 11 − 1)
= 2(2+2+2) − 2/2
= 3 + 33 + 33
= (44 − 4)/4
= (5 + 55/5)/(5 + 5)
= 66 − 6 × 6/(6 + 6)
= 77 − 7 − 7
= 8 × 8 − 8/8
= 9 × 9 − 9 − 9

\( 63^(10) = 1^(10)+2^(10)+4^(10)+5^(10)+6^(10)+8^(10)+12^(10)+15^(10)+16^(10)+17^(10)+20^(10) +21^(10)+25^(10)+ 26^(10)+27^(10)+28^(10)+30^(10)+36^(10)+37^(10)+38^(10)+40^(10) +51^(10)+62^(10) \)

Number k such that 9^k + 2 is prime.

Number k such that (16*10^k - 31)/3 is prime.

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

Factors: 1, 3, 7, 9, 21, 63

Sixty-three

Representations, Binary to Hexadecimal:

111111_2
2100_3
333_4
223_5
143_6
120_7
77_8
70_9
58_11
53_12
4b_13
47_14
43_15
3f_16

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