65 (number)

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


<< 60 61 62 63 64 65 66 67 68 69 >>

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 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).

[edit] In science

[edit] Astronomy

[edit] In other fields

Sixty-five is:

  • 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

[edit] Historical years

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