69105 (number) - Significance of The Number

Significance of The Number

Nick Montfort, in his book Twisty Little Passages (ISBN 0-262-13436-5), suggests that the number was chosen not only because 69 is the common name of a sexual position, but also because in its written form 69,105 falls naturally into two parts with an unusual relationship:

  • 69 in hexadecimal is 105 in decimal
  • 69 in decimal is 105 in octal

This property was pointed out in a version of the Jargon File dating back at least to 1982. Commenting on the ("Exclusive to MIT-AI") usage of 69 as a generic "large quantity", Guy L. Steele said, "I don't know whether its origins are related to the obscene interpretation, but I do know that 69 decimal = 105 octal, and 69 hexadecimal = 105 decimal, which is a nice property."

The same natural relationship applies to 1,001; 2,002; 3,003; 4,004; 5,005; 6,006; 7,007; 64,100; 65,101; 66,102; 67,103; and 68,104. However, 69,105 is the highest number with this property with fewer than six digits.

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