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Today is Day 89 of 2015

89

is a prime and a Fibonacci number.
generates a cyclic number series where each term is the sum of the square digits of the previous number:
89 - 145 - 42 - 20 - 4 - 16 - 37 - 58 - 89 - ...

The decimal expansion of the inverse of 89 (that is 1/89) is just the Fibonacci series, added together in an appropriate fashion: like a column of decimal fractions, arranged so the right most digit of the nth Fibonacci number is in the n+2th decimal place:

.01 .001 .0002 .00003 .000005 .0000008 .00000013 .000000021 .0000000034 .00000000055 .000000000089 .0000000000144 added gives .01123595505...

As you can easily check, 1/89 = 0.01123595595... 

892 = 392 + 802 (Pythagorean triple)

= 81 + 92
= 23 + 33 + 33 + 33

Many thanks are extended to Archimedes' Lab for their information.




89

Today is day number   of 2015. Below are various representations of the number 89, some dating thousands of years, and some very modern.

Chinese

Egyptian

Mayan

 

Babylonian

Greek

Abacus

Roman

 

Hex

 

Binary

 

Many thanks are extended to Jo Edkins for her wonderful work.

 

 



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