Seven
Six fears it, nine is it's food: seven.
Properties
Seven is a mersenne prime: (2^3)-1 = 7. It's perfect number is 28 = (2^2)(7). It's a safe prime, as (2^((2^2)-1)-1 = 7.
7 is the sum of 8's proper divisors: 1+2+4.
7! = 7*6*5*4*3*2*1 = 5040, the last superior highly composite factorial.
For different bases
- In binary, 7 is 111, a repunit!
- In ternary, 7 is 21.
- In quaternary, 7 is 13.
- In quinary, 7 is 12.
- In seximal, 7 is 11.
- In septimal, 7 is 10.
- In higher bases, 7.
- In negabinary, 7 is 11011
and -7 is 1001.
- In negaternary, 7 is 111
and -7 is 1202.
- In negaquaternary, 7 is 133
and -7 is 21.
- In negaquinary, 7 is 143
and -7 is 23.
- In negaseximal, 7 is 152
and -7 is 25.
- In negaseptimal, 7 is 160
and -7 is 10.
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