Sunday, October 25, 2015

My Special Number and Magic Square

My Special Number and Magic Square
Armahedi Mahzar (c) 2015
88 is the atomic number of the element Radium 88

88
is called a refactorable number or tau number since it is an integer n that is divisible by the count of its divisors, or to put it algebraically, n is such that tau(n)|n

88
is called a semiperfect number or pseudoperfect number since it is a natural number n that is equal to the sum of all or some of its proper divisors.

88
is called an untouchable number since it 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). The sequence of the first untouchable numbers is: 2, 5, 52, 88, 96, 120, 124, 146, 162, 188, 206, 210

88
is called a hexadecagonal number since it is a number that can be represented as dots or pebbles arranged in the shape of a regular hexadecagon or 16-gon.

88
is called an Erdős–Woods number, since it is possible to find sequences of 88 consecutive integers such that each inner member shares a factor with either the first or the last member.

88
is the only number known whose square has no isolated digits.
In fact, its square has all its digits twice: 882 = 7744

88
=
= 232 – 212
= 132 – 92
= 42 + 62 + 62 (sum of squares)
= 23 + 23 + 23 + 43 (sum of cubes)
= 3 + 4 + 5 + … + 11 + 12 + 13 (sum of consecutive integers)
= 17 + 19 + 23 + 29 (sum of consecutive primes)

88
can be read the same upside down or when viewed in a mirror.

A piano has 88 keys

Eighty-eight
, 11 letters long, is the longest number that is normally typed using strictly alternating hands (ignoring the hyphen).

88
is used in Chinese culture to mean “bye bye”; found in Chinese-language chat, text, SMS, IM. 88 is in fact pronounced in Chinese Mandarin language as “ba ba”, simulating the sound of the English language farewell “bye bye”.

The 8th letter of the alphabet is ‘H’. 8 two times signifies ‘HH’, shorthand for the Nazi greeting:”Heil Hitler”. 88 is often found on hate group flyers, in both the greetings and closing.

The following is an amazing Magic Square with magic sum 88

My Magic Square
 88 magic

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