69105 (number)
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The number 69,105 was used as an in-joke at the United States computer game manufacturer Infocom. It has occasionally appeared in later computer games as a tribute to Infocom.
| Cardinal | Sixty-nine thousand one hundred [and] five |
| Ordinal | 69105th |
| Factorization |  |
| Binary | 10000110111110001 |
| Hexadecimal | 10DF1 |
| Hexagesimal | 19 11 45 |
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[edit] In mathematics
69105 is the third 23036-gonal number and the fifth 6912-gonal number. It is also the 17th 510-gonal and the 15th 660-gonal number.
As of October 2007, the only OEIS reference to 69105 is (sequence A097830 in OEIS), "Partial sums of Chebyshev sequence S(n, 16)," with 69105 corresponding to n = 4.
[edit] Appearances
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[edit] Appearances in Infocom games
[edit] Beyond Zork
There are 69,105 Christmas tree monsters.
[edit] Bureaucracy
The sample transcript includes a ticket with the description: "Ticket number 69105. Seat 25F. Acme Building Auditorium."
Running the adventure game cartridge causes the Boysenberry computer to crash almost immediately, with the message, "INTERNAL ERROR 69105.....".
[edit] Deadline
The serial number on the pharmacy label on the tablets is 69105.
[edit] Leather Goddesses of Phobos
There are 69,105 leaves in the sack found in Cleveland, Ohio.
[edit] Trinity
There are 69,105 leaves in the book in the cottage.
[edit] Wishbringer
At the lake edge, a "count leaves" gives
"A quick count turns up exactly 69,105 leaves."
[edit] The Witness
The gun receipt used as a bookmark in the mystery book is number 69105.
[edit] Zork I
Probably its most famous appearance:
- On the ground is a pile of leaves.
- >count leaves
- There are 69,105 leaves here.
[edit] Zork Zero
"This zoo, with 69,105 cages, is easily the largest in Quendor."
[edit] Appearances in later games
In Adam Cadre's game I-0:
- >open trunk
- You open the trunk, revealing your laundry.
- >examine laundry
- There are 69,105 pieces of laundry here.
In the Kingdom of Loathing strange leaflet game-within-game, a parody of classic text adventures, you can count leaves and find 69,105 of them.
[edit] 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."[1]
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).
