All multiples of 5 will end in either 5 or 0, and vulgar fractions with 5 or 2 in the denominator do not yield infinite decimal expansions because they are prime factors of 10, the base. In the powers of 5, every power ends with the number five, and from 53 onward, if the exponent is odd, then the hundreds digit is 1, and if it is even, the hundreds digit is 6. A number 
  
    
      
        n
      
    
    {\displaystyle n}
   raised to the fifth power always ends in the same digit as 
  
    
      
        n
      
    
    {\displaystyle n}
  . Evolution of the Arabic digit
The evolution of the modern Western digit for the numeral 5 cannot be traced back to the Indian system, as for the digits 1 to 4. The Kushana and Gupta empires in what is now India had among themselves several different forms that bear no resemblance to the modern digit. The Nagari and Punjabi took these digits and all came up with forms that were similar to a lowercase "h" rotated 180°.
The 5-simplex has the Coxeter group 
  
    
      
        
          
            A
          
          
            5
          
        
      
    
    {\displaystyle \mathrm {A} _{5}}
   as its symmetry group, of order 720 = 6!, whose group structure is represented by the symmetric group 
  
    
      
        
          
            S
          
          
            6
          
        
      
    
    {\displaystyle \mathrm {S} _{6}}
  , the only finite symmetric group which has an outer automorphism.