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 Sweden.
- 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 Lot.
At age 46:
Historical years
46 A.D.,
46
B.C.,
1946,
2046,
etc.
References