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The number 81831

81831 is a composite number with 4 divisors. Its prime factorisation is 3 × 27277. Divisors (4): 1, 3, 27277, 81831.

Number

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How to work it out

  1. 1

    What is special about 81831: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 27277, the product of two primes.

  2. 2

    81831 is composite. Its prime factorisation is

    81831=3×2727781831 = 3 \times 27277
  3. 3

    The divisors add up to 109112; without 81831 itself that is 27281, so 81831 is deficient (27281 is less than 81831). Euler's totient φ(81831) = 54552 numbers up to 81831 share no factor with it.

  4. 4

    The digits of 81831 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 81831 = 3 \times 27277 \]

81831 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors109112
Euler totient φ(n)54552
Square6696312561
Cube547965953179191
Square root286.061182
Digit sum / digital root21 / 3
Collatz steps to 176
Scientific notation8.1831 × 10410^{4}

81831 in other forms

FormValue
In wordseighty-one thousand eight hundred and thirty-one
Binary (base 2)10011111110100111
Octal (base 8)237647
Hexadecimal (base 16)13FA7
Base 311011020210
As time81831 seconds = 22 h 43 min 51 s

Is 81831 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).
3Yes (81831 ÷ 3 = 27277)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 81831 a prime number?

No. 81831 = 3 × 27277, so it is divisible by 3.

What are the factors of 81831?

1, 3, 27277, 81831.

What is 81831 in binary?

10011111110100111 (hexadecimal 13FA7, octal 237647).

What is the square root of 81831?

About 286.0612.

Is 81831 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 81831?

81831 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 27277, the product of two primes.

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