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The number 20589

20589 is a composite number with 4 divisors. Its prime factorisation is 3 × 6863. Divisors (4): 1, 3, 6863, 20589.

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How to work it out

  1. 1

    What is special about 20589: a semiprime: 3 × 6863, the product of two primes.

  2. 2

    20589 is composite. Its prime factorisation is

    20589=3×686320589 = 3 \times 6863
  3. 3

    The divisors add up to 27456; without 20589 itself that is 6867, so 20589 is deficient (6867 is less than 20589). Euler's totient φ(20589) = 13724 numbers up to 20589 share no factor with it.

  4. 4

    The digits of 20589 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 118 steps to reach 1.

LaTeX source of the formulas on this page
\[ 20589 = 3 \times 6863 \]

20589 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors27456
Euler totient φ(n)13724
Square423906921
Cube8727819596469
Square root143.488676
Digit sum / digital root24 / 6
Collatz steps to 1118
Scientific notation2.0589 × 10410^{4}

20589 in other forms

FormValue
In wordstwenty thousand five hundred and eighty-nine
Binary (base 2)101000001101101
Octal (base 8)50155
Hexadecimal (base 16)506D
Base 31001020120
As time20589 seconds = 5 h 43 min 9 s

Is 20589 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 (20589 ÷ 3 = 6863)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 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 5)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 8)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 20589 a prime number?

No. 20589 = 3 × 6863, so it is divisible by 3.

What are the factors of 20589?

1, 3, 6863, 20589.

What is 20589 in binary?

101000001101101 (hexadecimal 506D, octal 50155).

What is the square root of 20589?

About 143.4887.

Is 20589 divisible by 3?

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

What is special about the number 20589?

20589 is a semiprime: 3 × 6863, the product of two primes.

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