65 (number)

From Wikipedia, the free encyclopedia

65 (sixty-five) is the natural number following 64 and preceding 66.


Cardinal 65
sixty-five
Ordinal 65th
sixty-fifth
Factorization 5 \cdot 13
Divisors 1, 5, 13, 65
Roman numeral LXV
Binary 1000001
Hexadecimal 41

Contents

[edit] In mathematics

Sixty-five is an octagonal number. It is also a Cullen number. Given 65, the Mertens function returns 0.

This number is the magic constant of 5 by 5 normal magic square:

\begin{bmatrix}  17 & 24 & 1 & 8 & 15 \\  23 & 5 & 7 & 14 & 16 \\  4 & 6 & 13 & 20 & 22 \\  10 & 12 & 19 & 21 & 3 \\  11 & 18 & 25 & 2 & 9 \end{bmatrix}.

This number is also the magic constant of n-Queens Problem for n = 5.

65 can be expressed as a sum of two squares in two ways, 65 = 82 + 12 = 72 + 42.

It appears in the Padovan sequence, preceded by the terms 28, 37, 49 (it is the sum of the first two of these).

There are only 65 known Euler's idoneal numbers.

[edit] In science

[edit] Astronomy

[edit] In other fields

Sixty-five is:

  • A common speed limit, in miles per hour, for freeways in many U.S. states, primarily in the eastern United States (in the western United States, the common limit is 70 and in some places 75)
  • The designation of Interstate 65, a freeway that runs from Alabama to Indiana
  • The code for international direct dial phone calls to Singapore
  • The traditional age for retirement in the United Kingdom, Germany and other countries. It was previously the age at which a person in the United States could retire with full Social Security benefits; however, recent changes in the law have increased this age for younger workers due to improvements in life expectancy
  • The registry of the U.S. Navy's nuclear aircraft carrier USS Enterprise (CVN-65)
  • 65 is the minimum grade required to pass an exam, or class, in many areas
  • Paul Davis had a hit song "65 Love Affair" in 1982
  • Sammy Hagar re-recorded his hit "I Can't Drive 55" in 2001 for NBC's NASCAR broadcasts to reflect higher speed limits. The song was used from 2001 until 2004 to introduce Budweiser Pole Award winners on NBC and TNT broadcasts.
  • 65 is a commonly used abbreviation for the Sheffield, UK, post-rock band 65daysofstatic.
  • The setting of "Naked City" (1958 - 63) was New York's 65th Precinct

[edit] In sports

[edit] Historical years

65 A.D., 65 B.C., 1965, 2065, etc.