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The number 31081

31081 is a twin prime (31079 and 31081 are both prime) and the 3349th prime number. Its only divisors are 1 and 31081.

Number

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How to work it out

  1. 1

    What is special about 31081: a twin prime (31079 and 31081 are both prime); the 3349th prime number.

  2. 2

    31081 is prime, so its only factors are 1 and 31081. It is the 3349th prime; the next prime is 31091 and the one before is 31079.

  3. 3

    The divisors add up to 31082; without 31081 itself that is 1, so 31081 is deficient (1 is less than 31081). Euler's totient φ(31081) = 31080 numbers up to 31081 share no factor with it.

  4. 4

    The digits of 31081 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.

31081 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors31082
Euler totient φ(n)31080
Square966028561
Cube30025133704441
Square root176.298043
Digit sum / digital root13 / 4
Collatz steps to 154
Scientific notation3.1081 × 10410^{4}

31081 in other forms

FormValue
In wordsthirty-one thousand and eighty-one
Binary (base 2)111100101101001
Octal (base 8)74551
Hexadecimal (base 16)7969
Base 31120122011
As time31081 seconds = 8 h 38 min 1 s

Is 31081 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31081 a prime number?

Yes. 31081 is divisible only by 1 and itself.

What are the factors of 31081?

1, 31081.

What is 31081 in binary?

111100101101001 (hexadecimal 7969, octal 74551).

What is the square root of 31081?

About 176.2980.

Is 31081 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 31081?

31081 is a twin prime (31079 and 31081 are both prime); the 3349th prime number.

All about 31081

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