## Monday, September 10, 2012

### The Most Beautiful Number

Surely, there are a lot of beautiful number but the most beautiful is 108.

Why? Some proofs are below.
• It is the hyperfactorial of 3 since it is of the form $1^1 \cdot 2^2 \cdot 3^3$.
• 108 is a number that is divisible by the value of its φ function, which is 36. 108 is also divisible by the total number of its divisors (12), hence it is a refactorable number.
• In Euclidean space, the interior angles of a regular pentagon measure 108 degrees each.
• There are 108 free polyominoes of order 7.
• In base 10, it is a Harshad number and a self number.
• The distance of the Sun from the Earth divided by the diameter of the Sun and the distance of the Moon from the Earth divided by the diameter of the Moon is approximately equal to 108.
• The number 108 is one of many numeric motifs in the American television program Lost
• The pre-historic monument Stonehenge is about 108 feet in diameter.
• According to Marma Adi and Ayurveda, there are 108 pressure points in the body, where consciousness and flesh intersect to give life to the living being.
• In Homer's Odyssey, the number of suitors coveting Penelope, wife of Odysseus.
• 108 is the number that the Belgian cyclist Wouter Weylandt wore when he crashed fatally in the Giro d'Italia on May 9, 2011.
• An official Major League Baseball baseball has 108 stitches.
• There are 108 cards in a deck of UNO cards.
• In India, 108  is the toll-free emergency telephone number.
• 108 degrees Fahrenheit is the internal temperature at which the human body's vital organs begin to fail from overheating.