in Math/Stats 464 Words

All About The Number 100

In celebration of my 100th post coming earlier this week, I figured I would discuss the number 100!!! I know, what a way to celebrate…

Applications

The number of yards in a football field.
The minimum number of yards for a par 3 hole in golf.
The number of years in a century.
The number of cents in a dollar (or pence in a pound sterling)
The boiling temperature of water at sea level, in Celsius.
The atomic number of fermium which is made by blasting plutonium with neutrons (named after the great nuclear physicist Enrico Fermi).
The number of senators in the United States Senate.
The number of tiles in a standard Scrabble set.
The basis for percentages (100% represents wholeness, purity, and perfection).
In China, tradition holds that the naming of a newborn panda must wait until the cub is 100 years old.
Pythagoreans considered 100 as divinely divine because it is the square (10^2) of the divine decad (10).
Nostradamus’ work titled “Centuries” contains 10 chapters of 100 verses each.
There are 100 squares in the 10×10 Euler (Latin or Graeco-Roman) Square. A Latin square consists of sets of the numbers 0 to 9 arranged in such a way that no orthogonal (row or column) contains the same number twice. See the image above for an example of a colorful Gaeco-Roman Square for n=10 (the capability for which was discovered by E.T. Parker of Remington Rand in 1959, disproving earlier Eulerian conjectures that a 10×10 square was impossible).

In Language

“Cem” – Portuguese
“Cent” – French
“Cento” – Italian
“Cien” – Spanish
“Honderd” – Dutch
“Hundert” – German
“Hundra” – Swedish
“Hundre” – Norwegian
“Hundred” – English
“Hundrede” – Danish
“Hyaku” – Japanese
“Miyya” – Arabic
“Sad” – Farsi
“Sada” – Estonian
“Sata” – Finnish
“Sto” – Croatian, Czech, Polish
“Száz” – Hungarian
“Yibai” – Chinese
“Yüz” – Turkish

Note: “Cent” is the largest number in the French language that is in alphabetical order. And funny enough, when you spell out 2*5*10=100 in French, it’s all in alphabetical order too! (deux*cinq*dix=cent)

A Mathematical Investigation

100 = 2^2 * 5^2 (factorization of 100)
100 = (1 + 2 + 3 + 4)^2
100 = 1^3 + 2^3 + 3^3 + 4^3 = 1 + 8 + 27 + 64
100 = The sum of the first nine prime numbers (2+3+5+7+11+13+17+19+23)
100 = The sum of four pairs of prime numbers (47+53, 17+83, 3+97, 41+59)
100 = The sum of the first ten odd numbers (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19)
100 = 2^6 + 6^2 making it a Leyland Number.
100 can be expressed as a sum of some of its divisors making it a semi-perfect number.
100 is divisible by the number of primes below it (25) making it a polygonal number.
100 is divisible by the sum of its digits (in both base 10 and base 4) making it a Harshad Number.
100 is the 854th to 856th digits of pi.
100 is the 3036th to 3038th digits of phi.

In numerology, 100 equals “I LOVE WISDOM TRUTH BEAUTY”
(9) + (3 + 6 + 4 + 5) + (2 + 5 + 1 + 3 + 2 + 7) + (5 + 9 + 1 + 4 + 6 + 4)

Sources / Links