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46 (forty-six) is the natural number following 45 and preceding 47.

In mathematics

Forty-six is a Wedderburn-Etherington number, an enneagonal number and a centered triangular number. It is the sum of the totient function for the first twelve integers. 46 is the largest even integer that can't be expressed as a sum of two abundant numbers.

46 is the 13th semiprime. 46 is the third semiprime with a semiprime aliquot sum. The aliquot sequence of 46 is (46,26,16,15,9,4,3,1,0).

Since it is possible to find sequences of 46 consecutive integers such that each inner member shares a factor with either the first or the last member, 46 is an Erdős–Woods number.

In science



Astronomy





  • The Saros number of the solar eclipse series which began on April 1, 1371 BC and ended on May 8, 91 BC. The duration of Saros series 46 was 1280.1 years, and it contained 72 solar eclipses.


  • The Saros number of the lunar eclipse series which began on July 19, 1358 BC and ended on October 8, 12. The duration of Saros series 46 was 1370.5 years, and it contained 77 lunar eclipses.


In sports

  • Valentino Rossi, one of the greatest motorcycle riders of all time, uses 46 as his number in the MotoGP motorcycle world championship, and has been using this number in homage to his father since he started racing as a youngster.
  • The number of mountains in the 46 peaks of the Adirondack mountain range. People who have climbed all of them are called "forty-sixers"; there is also an unofficial 47th peak.
  • The name of a defensive scheme used in American football; see 46 defense.


In religion

  • The total of books in the Old Testament, Catholic version, if the Book of Lamentations is counted as a book separate from the Book of Jeremiah
  • The number corresponding to the word "ADAM" where A=1, D=4, M=40. (on the analogy of the numeric values of letters in ancient alphabets, such as Hebrew and Greek)


In other fields

Forty-six is also:
  • The code for international direct dial phone calls to Swedenmarker.
  • The number of samurai, out of 47, who carried out the attack in the historical Ako vendetta; sometimes referred to as the 46 Ronins to discount the one samurai forced to turn back.
  • In the title of the movie Code 46, starring Tim Robbins and Samantha Morton.
  • Several routes numbered 46 exist throughout the world.
  • Because 46 in Japanese can be pronounced as "yon roku", and "yoroshiku"(よろしく) means "my best regards" in Japanese, people sometimes use 46 for greeting.
  • 46 is the number of the City Chevrolet and Superflo cars driven by Cole Trickle in the movie Days of Thunder.
  • The number of the French department Lotmarker.


At age 46:

Historical years

46 A.D., 46 B.C., 1946, 2046, etc.

References




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