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65 (number)

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

Cardinal 65
sixty-five
Ordinal 65th
sixty-fifth
Factorization[5 \cdot 13]
Roman numeralLXV
Binary1000001
Hexadecimal41

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 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.]

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).

In science

In astronomy,

Messier object M65, a magnitude 10.5 galaxy in the constellation Leo
The New General Catalogue [object] NGC 65, a spiral galaxy in the constellation Cetus
The Saros [number] of the solar eclipse series which began on -749 April 24 and ended on 513 May 20. The duration of Saros series 65 was 1262.1 years, and it contained 71 solar eclipses.
The Saros [number] of the lunar eclipse series which began on -736 August 11 and ended on 797 February 16. The duration of Saros series 65 was 1532.5 years, and it contained 86 lunar eclipses.

In other fields

Sixty-five is also:

 


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