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The number 16089

16089 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 173. Divisors (8): 1, 3, 31, 93, 173, 519, 5363, 16089.

Number

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How to work it out

  1. 1

    16089 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

    16089 is composite. Its prime factorisation is

    16089=3×31×17316089 = 3 \times 31 \times 173
  3. 3

    The divisors add up to 22272; without 16089 itself that is 6183, so 16089 is deficient (6183 is less than 16089). Euler's totient φ(16089) = 10320 numbers up to 16089 share no factor with it.

  4. 4

    The digits of 16089 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16089 = 3 \times 31 \times 173 \]

16089 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors22272
Euler totient φ(n)10320
Square258855921
Cube4164732912969
Square root126.842422
Digit sum / digital root24 / 6
Collatz steps to 145
Scientific notation1.6089 × 10410^{4}

16089 in other forms

FormValue
In wordssixteen thousand and eighty-nine
Binary (base 2)11111011011001
Octal (base 8)37331
Hexadecimal (base 16)3ED9
Base 3211001220
As time16089 seconds = 4 h 28 min 9 s

Is 16089 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 (16089 ÷ 3 = 5363)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 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 1)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 9)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 16089 a prime number?

No. 16089 = 3 × 31 × 173, so it is divisible by 3.

What are the factors of 16089?

1, 3, 31, 93, 173, 519, 5363, 16089.

What is 16089 in binary?

11111011011001 (hexadecimal 3ED9, octal 37331).

What is the square root of 16089?

About 126.8424.

Is 16089 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 16089?

It is a composite number with 8 divisors.

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    16089: is it prime? Factors, square root, binary, Roman numeral | WordGPT