37 (number)

The smallest magic square, using only primes and 1, contains 37 as the value of its central cell:^[12]

Its

that return ${\displaystyle 0}$ for the

The secretary problem is also known as the 37% rule by ${\displaystyle {\tfrac {1}{e}}\approx 37\%}$.

Decimal properties

For a three-digit number that is divisible by 37, a rule of divisibility is that another divisible by 37 can be generated by transferring first digit onto the end of a number. For example: 37|148 ➜ 37|481 ➜ 37|814.^[18] Any multiple of 37 can be mirrored and spaced with a zero each for another multiple of 37. For example, 37 and 703, 74 and 407, and 518 and 80105 are all multiples of 37; any multiple of 37 with a three-digit repunit inserted generates another multiple of 37 (for example, 30007, 31117, 74, 70004 and 78884 are all multiples of 37).

In decimal 37 is a permutable prime with 73, which is the twenty-first prime number. By extension, the mirroring of their digits and prime indexes makes 73 the only Sheldon prime.

Geometric properties

There are precisely 37 complex reflection groups.

In three-dimensional space, the most

In total, these number twenty-one figures, which when including their

The sphere in particular circumscribes all the above regular and semiregular polyhedra (as a fundamental property); all of these solids also have unique representations as spherical polyhedra, or spherical tilings.^[19]

In science

• The atomic number of rubidium
• The normal human body temperature in degrees Celsius

Astronomy

• NGC 2169 is known as the 37 Cluster, due to its resemblance of the numerals.

In other fields

Thirty-seven is:

• The number of the French department Indre-et-Loire^[20]
• The number of slots in European roulette (numbered 0 to 36, the 00 is not used in European roulette as it is in American roulette)
• The RSA public exponent used by PuTTY
• Richard Nixon, 37th president of the United States.
• DEVO song "37" from "Hardcore Devo: Volume Two
  "
• More often than expected, the number given by people when asked to provide a random 2 digit number.[21]

See also

• List of highways numbered 37
• Number Thirty-Seven, Pennsylvania, unincorporated community in Cambria County, Pennsylvania
• I37 (disambiguation)

References

External links

Wikimedia Commons has media related to 37 (number).

• 37 Heaven Large collection of facts and links about this number.