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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

 Nominal 31 Cardinal thirty-one Ordinal 31st Number of digits 2 Sum of digits 4 Product of digits 3 Number parity Odd
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## Prime Factorization of 31

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

 List of proper divisors 1 List of all dividers 1, 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
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 31 5.56776 Natural Logarithm (ln) of 31 3.43399 Decimal Logarithm (log) of 31 1.49136
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## Trigonometry

Trigonometry is the study of the relationship between the angles and sides of a triangle.
 Sine of 31 -0.404038 Cosecant of 31 -2.47502 Cosine of 31 0.914742 Secant of 31 1.0932 Tangent of 31 -0.441696 Cotangent of 31 -2.264
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## Number parity

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

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 numerals ৩১ Eastern Arabic numerals ٣١ Hieroglyphs numeralsused in Ancient Egypt 𓎈𓏺 Khmer numerals ៣១ Japanese numerals 三十一 Roman numerals XXXI Thai numerals ๓๑
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## Translation

How do you say 31 in 38 different languages?
 Arabic واحد و ثلاثون Croatian trideset i jedan Czech třicet jeden Danish en og tredive Dutch éénendertig Estonian blaetɔ̃ vɔ ɖekɛ Faroese tríati­ein Filipino tatlóng pû’t isá Finnish kolme­kymmentä­yksi French trente et un Greek τριάντα ένα German ein­und­dreißig Hebrew שלושים ואחת Hindi इकतीस Hungarian harminc­egy Icelandic þrjátíu og einn Indonesian tiga puluh satu Italian trentuno Japanese 三十一 Korean 삼십일 Latvian trīsdesmit viens Lithuanian trisdešimt vienas Norwegian tretti­én Persian سی و یک Polish trzydzieści jeden Portuguese trinta e um Romanian treizeci şi unu Russian тридцать один Serbian тридесет и један Slovak tridsať­jeden Slovene trideset ena Spanish treinta y uno Swahili thelathini na moja Swedish trettioen Thai สาม​สิบ​เอ็ด Turkish otuz bir Ukrainian тридцять один Vietnamese ba mươi mốt
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## Miscellaneous

 Number 31 reversed 13 ASCII Code 31 Unicode Character U+001F Unix Timestamp Thu, 01 Jan 1970 00:00:31 +0000
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