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The number 81107

81107 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 367. Divisors (8): 1, 13, 17, 221, 367, 4771, 6239, 81107.

Number

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How to work it out

  1. 1

    What is special about 81107: a Harshad number: divisible by its digit sum 17.

  2. 2

    81107 is composite. Its prime factorisation is

    81107=13×17×36781107 = 13 \times 17 \times 367
  3. 3

    The divisors add up to 92736; without 81107 itself that is 11629, so 81107 is deficient (11629 is less than 81107). Euler's totient φ(81107) = 70272 numbers up to 81107 share no factor with it.

  4. 4

    The digits of 81107 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page
\[ 81107 = 13 \times 17 \times 367 \]

81107 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors92736
Euler totient φ(n)70272
Square6578345449
Cube533549864332043
Square root284.792907
Digit sum / digital root17 / 8
Collatz steps to 189
Scientific notation8.1107 × 10410^{4}

81107 in other forms

FormValue
In wordseighty-one thousand one hundred and seven
Binary (base 2)10011110011010011
Octal (base 8)236323
Hexadecimal (base 16)13CD3
Base 311010020222
As time81107 seconds = 22 h 31 min 47 s

Is 81107 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 2)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 81107 a prime number?

No. 81107 = 13 × 17 × 367, so it is divisible by 13.

What are the factors of 81107?

1, 13, 17, 221, 367, 4771, 6239, 81107.

What is 81107 in binary?

10011110011010011 (hexadecimal 13CD3, octal 236323).

What is the square root of 81107?

About 284.7929.

Is 81107 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 81107?

81107 is a Harshad number: divisible by its digit sum 17.

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    81107: is it prime? Factors, square root, binary, Roman numeral | WordGPT