About the Number 96 (ninety-six)

Molly Kool died at the age of 93. There was already a nBAB for 93 so a nBAB for 94 was created. While posting the nBAB for 94, it was noticed that there was no nBAB for 95. Since "95 percent" has been a popular phrase with President Barack Obama, a nBAB for 95 was created. When the nBAB for 95 was posted, it was noticed that there wasn't a nBAB for 96.

"96 Tears" is one of MathBabbler's favorite songs.

MathBabbler has created numerous BABs about RFID (Radio Frequency IDentification) and that technology uses 96 bits. In addition, he talked about RFID (and 96 bits) in his CSC100 class on 3 March 2009.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   96 is a natural, whole, integer
   96 is even
   96 proper divisors are: 1,2,3,4,6,8,12,16,24,32,48,
   96 is refactorable (evenly divisable by # of divisors)
   96 is abundant (sum of divisors is 156)
   96 is unhappy
   96 is not a Harshad number
   96 is not prime
   96 is undulating
   96 has the prime factors: 2*2*2*2*2*3
   96 in octal is 0140
   96 in hexadecimal is 0x60
   96 in binary is 1100000 (is evil)
   96 nearest square numbers: -15...4 (81...100 [10])
   sqrt(96) = 9.79796
   ln(96) = 4.56435
   log(96) = 1.98227
   96 reciprocal is .01041666666666666666666666666666
   96! is 9.91678e+149
   96 is 30.5577 Pi years
   96 is 4 score and 16 years
   96 written as a Roman numeral is XCVI

96 = 6^2 + 6^2 + 4^2 + 2^2 + 2^2

[Wikipedia] 96 is an Untouchable Number. An untouchable number is a "positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer (including the untouchable number itself). For example, 4 is not untouchable as it can be made up of the sum of the proper divisors of 9 (1 & 3). 5 is untouchable as a similar thing cannot be done."

The first few untouchable numbers...

   2, 5, 52, 88, 96, 120, 124, 146, 162, 188, 206, 210, 216, 
   238, 246, 248, 262, 268, 276, 288, 290, 292, 304, 306, 322...

OEIS.org::id:A005144


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 07 March 2009

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