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972

Number 972 (nine hundred seventy-two) is an even three-digits composite number and natural number following 971 and preceding 973.

Properties of the number 972

Nominal972
Cardinalnine hundred seventy-two
Cardinal
nine hundred seventy-two
Ordinal972nd
Number of digits3
Sum of digits18
Product of digits126
Number parityEven
Calculation was done in 0.0000350475 seconds

Prime Factorization of 972

Prime factorization2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factorization in exponent form22 x 35
Prime factors2, 3
Number of distinct prime factors ω(n)2
Total number of prime factors Ω(n)7
Sum of prime factors5
Product of prime factors6
Calculation was done in 0.0000190735 seconds

Divisors of 972

List of proper divisors 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486
List of all dividers1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Number of divisors d(n)18
Sum of all divisors σ(n)2548
Aliquot sum 1576
972 is an abundant number , because the sum of its proper divisors (1576) is greater than itself. Its abundance is 604.
Calculation was done in 0.0000150204 seconds

Prime numbers

Is 972 a prime number?No
Is 972 a semiprime number?No
Is 972 a Chen prime number?No
Is 972 a Mersenne prime number?No
Calculation was done in 0.0000541210 seconds

Sequences

Is 972 a Catalan number?No
Is 972 a Fibonacci number?No
Is 972 a Idoneal number?No
Calculation was done in 0.0000040531 seconds

Number theory

Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions.
972 is not a Happy number
972 is a Humble number
972 is not a Münchhausen number
972 is not a Perfect number
972 is not a Perfect square
972 is not a Palindrome
Calculation was done in 0.0058648586 seconds

Numeric Bases of 972

In mathematics, a base or radix of a numeral system is the number of unique digits, including zero, used to represent numbers in that system.
BaseSystemValue
2Binary11110011002
3Ternary11000003
4Quaternary330304
5Quinary123425
6Senary43006
7Septenary25567
8Octal17148
9Nonary13009
10Decimal972
12Duodecimal69012
16Hexadecimal3cc16
20Vigesimal28c20
36Base36r036
60SexagesimalGC60
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Mathematical operations

Mathematical operations are actions that are performed on numbers or mathematical expressions to find a numerical result.
Square of 972 (n2)944784
Cube of 972 (n3)918330048
Square root of 97231.17691453624
Natural Logarithm (ln) of 9726.8793558044604
Decimal Logarithm (log) of 9722.9876662649263
Calculation was done in 0.0000100136 seconds

Trigonometry

Trigonometry is the study of the relationship between the angles and sides of a triangle.
Sine of 972-0.94831084344116
Cosecant of 972-1.0545065543818
Cosine of 972-0.31734294416596
Secant of 972-3.1511650672687
Tangent of 9722.9882840027639
Cotangent of 9720.33464021460982
Calculation was done in 0.0000059605 seconds

Number parity

Parity is the property of an integer of whether it is even or odd.

Is 972 an Even Number?

Yes, the number 972 is an even number.

Is 972 an Odd Number?

No
Calculation was done in 0.0000040531 seconds

Ban number

In recreational mathematics, a ban number is a number that does not contain a particular letter when spelled out in English; in other words, the letter is "banned".
The spelling of 972 in words is "nine hundred seventy-two", meaning that:
972 is an aban number (a number without the letter a)
972 is not an eban number (as it contains the letter e)
972 is not an iban number (as it contains the letter i)
972 is not an oban number (as it contains the letter o)
972 is not a tban number (as it contains the letter t)
972 is not an uban number (as it contains the letter u)
Calculation was done in 0.0000028610 seconds

Numeral systems

How to write 972 in other number systems?
Bengali numerals৯৭২
Eastern Arabic numerals٩٧٢
Hieroglyphs numeralsused in Ancient Egypt𓍪𓎌𓏻
Khmer numerals៩៧២
Japanese numerals九百七十二
Roman numeralsCMLXXII
Thai numerals๙๗๒
Calculation was done in 0.0000770092 seconds

Translation

How do you say 972 in 38 different languages?
Arabicتسعة مائة و إثنان و سبعون
Croatiandevetsto sedamdeset i dva
Czechdevět set sedmdesát dva
Danish ni hundrede to og halvfjerds
Dutchnegenhonderdtweeenzeventig
Estonianalafa asieke blaadre vɔ eve
Faroeseníggju­hundrað­og­sjeyti­tveir
Filipinosiyám na daán at pitóng pû’t dalawá
Finnishyhdeksän­sataa­seitsemän­kymmentä­kaksi
Frenchneuf cent soixante-douze
Greekεννιακόσια εβδομήντα δύο
Germanneun­hundert­zwei­und­siebzig
Hebrewתשע מאות שבעים ושתיים
Hindiनौ सौ बहत्तर
Hungariankilenc­száz­hetven­kettő
Icelandicníu­hundrað og sjötíu og tveir
Indonesiansembilan ratus tujuh puluh dua
Italiannovecentosettantadue
Japanese九百七十二
Korean구백칠십이
Latviandeviņsimt septiņdesmit divi
Lithuaniandevyni šimtai septyniasdešimt du
Norwegianni hundre og sytti­to
Persianنهصد و هفتاد و دو
Polishdziewięćset siedemdziesiąt dwa
Portuguesenovecentos e setenta e dois
Romaniannouă sute şaptezeci şi doi
Russianдевятьсот семьдесят два
Serbianдеветсто седамдесет и два
Slovakdeväť­sto sedemdesiat­dva
Slovenedevetsto sedemdeset dva
Spanish novecientos setenta y dos
Swahilimia tisa na sabini na mbili
Swedishniohundrasjutiotvå
Thaiเก้า​ร้อย​เจ็ด​สิบ​สอง
Turkishdokuz yüz yetmiş iki
Ukrainianдевʼятсот сімдесят два
Vietnamesechín trăm bảy mươi hai
Calculation was done in 0.0140678883 seconds

Miscellaneous

Number 972 reversed279
Unicode CharacterU+03CCό
Hexadecimal color (shorthand)#997722
Unix TimestampThu, 01 Jan 1970 00:16:12 +0000
Calculation was done in 0.0000240803 seconds
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