MathBabbler created a nBAB for the number 125 on 29 March 2009. While working on that nBAB, he learned that 125 was a Ruth-Aaron pair with

`. On 31 March 2009, MathBabbler and his CSC100 class wrote a C program that determines if a number is a member of the Ruth-Aaron pair. This nBAB about the number`

126`was the second nBAB to use the MBNA's Ruth-Aaron program.`

126MathBabbler Number Analyst (MBNA) output: ========================================= 126 is a natural, whole, integer 126 is even 126 proper divisors are: 1,2,3,6,7,9,14,18,21,42,63, 126 is abundant (sum of divisors is 186) 126 is unhappy 126 is a Harshad number 126 is not prime 126 has the prime factors: 2*3*3*7 126 sum prime factors: 2...3...3...7...answer: 15 126 and 125 are a Ruth-Aaron pair 126 in octal is 0176 126 in hexadecimal is 0x7e 126 in binary is 1111110 (is evil) 126 nearest square numbers: -5...18 (121...144 [12]) sqrt(126) = 11.225 ln(126) = 4.83628 log(126) = 2.10037 126 reciprocal is .00793650793650793650793650793650 126! is 2.37217e+211 126 is 40.107 Pi years 126 is 6 score and 6 years 126 written as a Roman numeral is CXXVI

`[Wikipedia]`

`is a Friedman number because it is an integer which, in base-10, is the "result of an expression using all its own digits in combination with any of the four basic arithmetic operators and sometimes exponentiation."`

126126= 6 * 21Observe...

sqrt(126) / (ln(126) + log(126)) = 1.61821171.6182117 minus Phi is 0.000177711762; in other words, the square-root of

`divided-by the natural log of`

126`plus the common log of`

126`approximates the Golden Ratio.`

126

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 02 April 2009

This work is licensed under a Creative Commons Attribution 3.0 United States License.