# Seventeen

A friend's favorite number.

## Properties

17 is prime. 2^17-1 = 131071, which is prime, therefore (2^17-1)(2^16) = 8,589,869,056, which is a perfect number.

### For other bases

1. In binary, 17 is 10001, a palindrome!
2. In ternary, 17 is 122.
3. In quaternary, 17 is 101, another palindrome!
4. In quinary, 17 is 32.
5. In seximal, 17 is 25.
6. In septimal, 17 is 23.
7. In octal, 17 is 21.
8. In nonary, 17 is 18.
9. In decimal, 17.
10. In elevenary, 17 is 16.
11. In dozenal, 17 is 15.
12. In baker's dozenal, 17 is 14.
13. In biseptimal, 17 is 13.
14. In triquinary, 17 is 12.
15. In hex, 17 is 11.
16. In suboptimal, 17 is 10.
17. In negabinary, 17 is 10001, just like binary,
and -17 is 110011.
18. In negaternary, 17 is 212
and -17 is 1101.
19. In negaquaternary, 17 is 101, just like quaternary,
and -17 is 1313.
20. In negaquinary, 17 is 122
and -17 is 43.
21. In negaseximal, 17 is 145
and -17 is 31.
22. In negaseptimal, 17 is 153
and -17 is 34.
23. In negoctal, 17 is 161
and -17 is 37.
24. In neganonary, 17 is 188
and -17 is 21.
25. In negadecimal, 17 is 197
and -17 is 23.
26. In negelevenary, 17 is 1X6
and -17 is 25.
27. In negadozenal, 17 is 1E5
and -17 is 27.
28. In negabaker's dozenal, 17 is 1Z4
and -17 is 29.
29. In negabiseptimal, 17 is 1D3
and -17 is 2B.
30. In negatriquinary, 17 is 1E2
and -17 is 2D.
31. In negahex, 17 is 1F1
and -17 is 2F.
32. In negasuboptimal, 17 is 1G0
and -17 is 10.

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