### 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 `715`th 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 `715`th 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 )
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 