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53 (szám)

Ez a szócikk az ötvenhármas számról szól. Az 53. évről szóló cikket lásd itt: 53.
53
(ötvenhárom)
… 49 50 51 52 « 53 » 54 55 56 57 …
… 20 30 40 50 • 60 70 80 90 …
… 0 • 100 200 300 400 …
Tulajdonságok
Normálalak5,3 · 101
Kanonikus alakprímszám
Osztók1, 53
Római számmalLIII
Számrendszerek
Bináris alak1101012
Oktális alak658
Hexadecimális alak3516
Számelméleti függvények értékei
Euler-függvény52
Möbius-függvény−1
Mertens-függvény−3
Osztók száma2
Osztók összege54
hiányos szám
Valódiosztó-összeg0

Az 53 (ötvenhárom) az 52 és 54 között található természetes szám.

A szám a matematikában

A tízes számrendszerbeli 53-as a kettes számrendszerben 110101, a nyolcas számrendszerben 65, a tizenhatos számrendszerben 35 alakban írható fel.

Az 53 páratlan szám, prímszám. Kanonikus alakja 531, normálalakban az 5,3 · 101 szorzattal írható fel. Két osztója van a természetes számok halmazán, ezek növekvő sorrendben: 1 és 53.

Az 53 prímszám, ezen belül Eisenstein-prím és Sophie Germain-prím. Jó prím. Kiegyensúlyozott prím.

Szigorúan nem palindrom szám.[1]

Az első 53 prím összege (5830) osztható 53-mal, ami nem gyakori tulajdonság a számok körében.[2][3]

Az 53 három szám valódiosztóösszeg-függvényeként áll elő, ezek a 235, 451 és 667.[4][5]

A tudományban

A művészetben

Jegyzetek

Commons:Category:53 (number)
A Wikimédia Commons tartalmaz 53 (szám) témájú médiaállományokat.

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