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The number 36189

36189 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 4021. Divisors (6): 1, 3, 9, 4021, 12063, 36189.

Number

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How to work it out

  1. 1

    36189 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    36189 is composite. Its prime factorisation is

    36189=32×402136189 = 3^{2} \times 4021
  3. 3

    The divisors add up to 52286; without 36189 itself that is 16097, so 36189 is deficient (16097 is less than 36189). Euler's totient φ(36189) = 24120 numbers up to 36189 share no factor with it.

  4. 4

    The digits of 36189 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36189 = 3^{2} \times 4021 \]

36189 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors52286
Euler totient φ(n)24120
Square1309643721
Cube47394696619269
Square root190.234066 (= 3√4021)
Digit sum / digital root27 / 9
Collatz steps to 193
Scientific notation3.6189 × 10410^{4}

36189 in other forms

FormValue
In wordsthirty-six thousand one hundred and eighty-nine
Binary (base 2)1000110101011101
Octal (base 8)106535
Hexadecimal (base 16)8D5D
Base 31211122100
As time36189 seconds = 10 h 3 min 9 s

Is 36189 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 (36189 ÷ 3 = 12063)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 4)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 6)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (36189 ÷ 9 = 4021)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 36189 a prime number?

No. 36189 = 323^{2} × 4021, so it is divisible by 3.

What are the factors of 36189?

1, 3, 9, 4021, 12063, 36189.

What is 36189 in binary?

1000110101011101 (hexadecimal 8D5D, octal 106535).

What is the square root of 36189?

About 190.2341, exactly 3√4021.

Is 36189 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 36189?

It is a composite number with 6 divisors.

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    36189: is it prime? Factors, square root, binary, Roman numeral | WordGPT