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31

Number 31 (thirty-one) is an odd two-digits prime number and natural number following 30 and preceding 32.

Properties of the number 31

Nominal31
Cardinalthirty-one
Ordinal31st
Number of digits2
Sum of digits4
Product of digits3
Number parityOdd
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Prime Factorization of 31

Prime factorization31
Prime factors31
Number of distinct prime factors ω(n)1
Total number of prime factors Ω(n)1
Sum of prime factors31
Product of prime factors31
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Divisors of 31

List of proper divisors 1
List of all dividers1, 31
Number of divisors d(n)2
Sum of all divisors σ(n)32
Aliquot sum 1
31 is a deficient number , since it is larger than the sum of its proper divisors (1). Its deficiency is 30.
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Prime numbers

Is 31 a prime number?Yes
Is 31 a semiprime number?No
Is 31 a Chen prime number?Yes
Is 31 a Mersenne prime number?Yes: M7
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Sequences

Is 31 a Catalan number?No
Is 31 a Fibonacci number?No
Is 31 a Idoneal number?No
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Number theory

Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions.
31 is a Happy number
31 is not a Humble number
31 is not a Münchhausen number
31 is not a Perfect number
31 is not a Perfect square
31 is not a Palindrome
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Numeric Bases of 31

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
2Binary111112
3Ternary10113
4Quaternary1334
5Quinary1115
6Senary516
7Septenary437
8Octal378
9Nonary349
10Decimal31
12Duodecimal2712
16Hexadecimal1f16
20Vigesimal1b20
36Base36v36
60SexagesimalV60
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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 31 (n2)961
Cube of 31 (n3)29791
Square root of 315.56776436283
Natural Logarithm (ln) of 313.4339872044851
Decimal Logarithm (log) of 311.4913616938343
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Trigonometry

Trigonometry is the study of the relationship between the angles and sides of a triangle.
Sine of 31-0.40403764532307
Cosecant of 31-2.4750168989833
Cosine of 310.91474235780453
Secant of 311.0932039950572
Tangent of 31-0.4416955680207
Cotangent of 31-2.264002793782
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Number parity

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

Is 31 an Even Number?

No

Is 31 an Odd Number?

Yes, the number 31 is an odd number.
Total number of all odd numbers from 1 to 31 is 16
Sum of all the odd numbers from 1 to 31 are 256
The sum of all odd numbers is a perfect square: 256 = 16
An odd number is any integer (a whole number) that cannot be divided by 2 evenly. Odd numbers are the opposite of even numbers.
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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 31 in words is "thirty-one", meaning that:
31 is an aban number (a number without the letter a)
31 is not an eban number (as it contains the letter e)
31 is not an iban number (as it contains the letter i)
31 is not an oban number (as it contains the letter o)
31 is not a tban number (as it contains the letter t)
31 is an uban number (a number without the letter u)
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Numeral systems

How to write 31 in other number systems?
Bengali numerals৩১
Eastern Arabic numerals٣١
Hieroglyphs numeralsused in Ancient Egypt𓎈𓏺
Khmer numerals៣១
Japanese numerals三十一
Roman numeralsXXXI
Thai numerals๓๑
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Translation

How do you say 31 in 38 different languages?
Arabicواحد و ثلاثون
Croatiantrideset i jedan
Czechtřicet jeden
Danish en og tredive
Dutchéénendertig
Estonianblaetɔ̃ vɔ ɖekɛ
Faroesetríati­ein
Filipinotatlóng pû’t isá
Finnishkolme­kymmentä­yksi
Frenchtrente et un
Greekτριάντα ένα
Germanein­und­dreißig
Hebrewשלושים ואחת
Hindiइकतीस
Hungarianharminc­egy
Icelandicþrjátíu og einn
Indonesiantiga puluh satu
Italiantrentuno
Japanese三十一
Korean삼십일
Latviantrīsdesmit viens
Lithuaniantrisdešimt vienas
Norwegiantretti­én
Persianسی و یک
Polishtrzydzieści jeden
Portuguesetrinta e um
Romaniantreizeci şi unu
Russianтридцать один
Serbianтридесет и један
Slovaktridsať­jeden
Slovenetrideset ena
Spanish treinta y uno
Swahilithelathini na moja
Swedishtrettioen
Thaiสาม​สิบ​เอ็ด
Turkishotuz bir
Ukrainianтридцять один
Vietnameseba mươi mốt
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Miscellaneous

Number 31 reversed13
ASCII Code31
Unicode CharacterU+001F
Unix TimestampThu, 01 Jan 1970 00:00:31 +0000
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