About the Number 714 (seven hundred fourteen)

On 31 March 2009, MathBabbler's CSC100 class wrote a program to check to see if a number is a member of a Ruth-Aaron pair.

Wikipedia: "The name [Ruth-Aaron pair] was given by Carl Pomerance for Babe Ruth and Hank Aaron, as Ruth's career regular-season home run total was 714, a record which Aaron eclipsed when he hit his 715th career home run. Pomerance was a mathematician at the University of Georgia at the time Aaron broke Ruth's record, and the student of one of Pomerance's colleagues noticed that the sums of the prime factors of 714 and 715 were equal."

On 8 April 2009, MathBabbler read in the Arizona Republic that on 8 April 1974, Hank Aaron hit his 715th home run to break Babe Ruth's record of 714.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   714 is a natural, whole, integer
   714 is even
   714 proper divisors are: 1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,
   714 is abundant (sum of divisors is 1014)
   714 is unhappy
   714 is not a Harshad number
   714 is not prime
   714 has the prime factors: 2*3*7*17
   714 sum prime factors: 2...3...7...17...answer: 29
   714 and 715 are a Ruth-Aaron pair
   714 and 715 are a Ruth-Aaron pair (distinct prime factors)
   714 in octal is 01312
   714 in hexadecimal is 0x2ca
   714 in binary is 1011001010 (is odious)
   714 nearest square numbers: -38...15 (676...729 [27])
   sqrt(714) = 26.7208
   ln(714) = 6.57088
   log(714) = 2.8537
   714 reciprocal is .00140056022408963585434173669467
   714 is an apocalyptic power
   714! is 1.90657e+1729
   714 is 227.273 Pi years
   714 is 35 score and 14 years
   714 written as a Roman numeral is DCCXIV

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 08 April 2009

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