About the Number 715 (seven hundred fifteen)

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:
   715 is a natural, whole, integer
   715 is odd
   715 proper divisors are: 1,5,11,13,55,65,143,
   715 is deficient (sum of divisors is 293)
   715 is unhappy
   715 is a Harshad number
   715 is not prime
   715 has the prime factors: 5*11*13
   715 is sphenic (had 3 unique prime factors)
   715 sum prime factors: 5...11...13...answer: 29
   715 and 714 are a Ruth-Aaron pair
   715 and 714 are a Ruth-Aaron pair (distinct prime factors)
   715 in octal is 01313
   715 in hexadecimal is 0x2cb
   715 in binary is 1011001011 (is evil)
   715 nearest square numbers: -39...14 (676...729 [27])
   sqrt(715) = 26.7395
   ln(715) = 6.57228
   log(715) = 2.85431
   715 reciprocal is .00139860139860139860139860139860
   715! is 1.3632e+1732
   715 is 227.592 Pi years
   715 is 35 score and 15 years
   715 written as a Roman numeral is DCCXV

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

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