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The number 81244

81244 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 19 × 1069. Divisors (12): 1, 2, 4, 19, 38, 76, 1069, 2138, 4276, 20311, 40622, 81244.

Number

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How to work it out

  1. 1

    What is special about 81244: a Harshad number: divisible by its digit sum 19.

  2. 2

    81244 is composite. Its prime factorisation is

    81244=22×19×106981244 = 2^{2} \times 19 \times 1069
  3. 3

    The divisors add up to 149800; without 81244 itself that is 68556, so 81244 is deficient (68556 is less than 81244). Euler's totient φ(81244) = 38448 numbers up to 81244 share no factor with it.

  4. 4

    The digits of 81244 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page
\[ 81244 = 2^{2} \times 19 \times 1069 \]

81244 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors149800
Euler totient φ(n)38448
Square6600587536
Cube536258133774784
Square root285.033331 (= 2√20311)
Digit sum / digital root19 / 1
Collatz steps to 189
Scientific notation8.1244 × 10410^{4}

81244 in other forms

FormValue
In wordseighty-one thousand two hundred and forty-four
Binary (base 2)10011110101011100
Octal (base 8)236534
Hexadecimal (base 16)13D5C
Base 311010110001
As time81244 seconds = 22 h 34 min 4 s

Is 81244 divisible by 2 to 12?

DivisorAnswerRule
2Yes (81244 ÷ 2 = 40622)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.
4Yes (81244 ÷ 4 = 20311)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 81244 a prime number?

No. 81244 = 222^{2} × 19 × 1069, so it is divisible by 2.

What are the factors of 81244?

1, 2, 4, 19, 38, 76, 1069, 2138, 4276, 20311, 40622, 81244.

What is 81244 in binary?

10011110101011100 (hexadecimal 13D5C, octal 236534).

What is the square root of 81244?

About 285.0333, exactly 2√20311.

Is 81244 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 81244?

81244 is a Harshad number: divisible by its digit sum 19.

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