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The number 28089

28089 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 3121. Divisors (6): 1, 3, 9, 3121, 9363, 28089.

Number

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How to work it out

  1. 1

    28089 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

    28089 is composite. Its prime factorisation is

    28089=32×312128089 = 3^{2} \times 3121
  3. 3

    The divisors add up to 40586; without 28089 itself that is 12497, so 28089 is deficient (12497 is less than 28089). Euler's totient φ(28089) = 18720 numbers up to 28089 share no factor with it.

  4. 4

    The digits of 28089 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 46 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28089 = 3^{2} \times 3121 \]

28089 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors40586
Euler totient φ(n)18720
Square788991921
Cube22161994068969
Square root167.597733 (= 3√3121)
Digit sum / digital root27 / 9
Collatz steps to 146
Scientific notation2.8089 × 10410^{4}

28089 in other forms

FormValue
In wordstwenty-eight thousand and eighty-nine
Binary (base 2)110110110111001
Octal (base 8)66671
Hexadecimal (base 16)6DB9
Base 31102112100
As time28089 seconds = 7 h 48 min 9 s

Is 28089 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 (28089 ÷ 3 = 9363)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (28089 ÷ 9 = 3121)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 6)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 28089 a prime number?

No. 28089 = 323^{2} × 3121, so it is divisible by 3.

What are the factors of 28089?

1, 3, 9, 3121, 9363, 28089.

What is 28089 in binary?

110110110111001 (hexadecimal 6DB9, octal 66671).

What is the square root of 28089?

About 167.5977, exactly 3√3121.

Is 28089 divisible by 3?

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

What is special about the number 28089?

It is a composite number with 6 divisors.

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    28089: is it prime? Factors, square root, binary, Roman numeral | WordGPT