About the Number 56 (fifty-six)

Billy Powell died of a heart attack on 28 January 2009 at the age of 56. Powell was the keyboard player for Lynyrd Skynyrd joining the band in 1972. MathBabbler likes Powell's piano playing on the song "Tuesdays Gone."

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   56 is a natural, whole, integer
   56 is even
   56 proper divisors are: 1,2,4,7,8,14,28,
   56 is refactorable (evenly divisable by # of divisors)
   56 is abundant (sum of divisors is 64)
   56 is unhappy
   56 is not a Harshad number
   56 is not prime
   56 is undulating
   56 has the prime factors: 2*2*2*7
   56 in octal is 070
   56 in hexadecimal is 0x38
   56 in binary is 111000 (is odious)
   56 nearest square numbers: -7...8 (49...64 [8])
   sqrt(56) = 7.48331
   ln(56) = 4.02535
   log(56) = 1.74819
   56 reciprocal is .01785714285714285714285714285714
   56! is 7.10999e+74
   56 is 17.8254 Pi years
   56 is 2 score and 16 years
   56 written as a Roman numeral is LVI

56 = 2 score and 2^2^2 years

[Wikipedia] 56 is the sum of six consecutive primes (starting with 3).

[Wikipedia] 56 is a pronic number. A pronic number is a number which is the product of two consecutive integers.

   Problem:  56 is a pronic number when 'n' equals what integer(s)?

   step 1:  n(n + 1) = 56

   step 2:  n^2 + n - 56 = 0   <-- quadratic equation in standard form

   step 3 is left as an exercise:  Use the quadratic formula to get the two 
                                   real number solutions  n = -8  &  n = 7

   step 4 (check answers):  -8(-8 + 1) = -8(-7) = 56
                             7( 7 + 1) =  7( 8) = 56
Update::2013.12.17

Update::2014.01.31


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 29 January 2009

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