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The number 81231

81231 is a composite number with 4 divisors. Its prime factorisation is 3 × 27077. Divisors (4): 1, 3, 27077, 81231.

Number

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How to work it out

  1. 1

    What is special about 81231: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 27077, the product of two primes.

  2. 2

    81231 is composite. Its prime factorisation is

    81231=3×2707781231 = 3 \times 27077
  3. 3

    The divisors add up to 108312; without 81231 itself that is 27081, so 81231 is deficient (27081 is less than 81231). Euler's totient φ(81231) = 54152 numbers up to 81231 share no factor with it.

  4. 4

    The digits of 81231 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.

LaTeX source of the formulas on this page
\[ 81231 = 3 \times 27077 \]

81231 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors108312
Euler totient φ(n)54152
Square6598475361
Cube536000752049391
Square root285.010526
Digit sum / digital root15 / 6
Collatz steps to 1182
Scientific notation8.1231 × 10410^{4}

81231 in other forms

FormValue
In wordseighty-one thousand two hundred and thirty-one
Binary (base 2)10011110101001111
Octal (base 8)236517
Hexadecimal (base 16)13D4F
Base 311010102120
As time81231 seconds = 22 h 33 min 51 s

Is 81231 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 (81231 ÷ 3 = 27077)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 3)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 6)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 7)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 81231 a prime number?

No. 81231 = 3 × 27077, so it is divisible by 3.

What are the factors of 81231?

1, 3, 27077, 81231.

What is 81231 in binary?

10011110101001111 (hexadecimal 13D4F, octal 236517).

What is the square root of 81231?

About 285.0105.

Is 81231 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 81231?

81231 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 27077, the product of two primes.

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