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The number 5389

5389 is a composite number with 4 divisors. Its prime factorisation is 17 × 317. Divisors (4): 1, 17, 317, 5389.

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How to work it out

  1. 1

    What is special about 5389: a semiprime: 17 × 317, the product of two primes.

  2. 2

    5389 is composite. Its prime factorisation is

    5389=17×3175389 = 17 \times 317
  3. 3

    The divisors add up to 5724; without 5389 itself that is 335, so 5389 is deficient (335 is less than 5389). Euler's totient φ(5389) = 5056 numbers up to 5389 share no factor with it.

  4. 4

    The digits of 5389 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5389 = 17 \times 317 \]

5389 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5724
Euler totient φ(n)5056
Square29041321
Cube156503678869
Square root73.409809
Digit sum / digital root25 / 7
Collatz steps to 167
Scientific notation5.389 × 10310^{3}

5389 in other forms

FormValue
In wordsfive thousand three hundred and eighty-nine
Binary (base 2)1010100001101
Octal (base 8)12415
Hexadecimal (base 16)150D
Base 321101121
As time5389 seconds = 1 h 29 min 49 s

Is 5389 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 1)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 1)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.
9No (remainder 7)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5389 a prime number?

No. 5389 = 17 × 317, so it is divisible by 17.

What are the factors of 5389?

1, 17, 317, 5389.

What is 5389 in binary?

1010100001101 (hexadecimal 150D, octal 12415).

What is the square root of 5389?

About 73.4098.

Is 5389 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 5389?

5389 is a semiprime: 17 × 317, the product of two primes.

All about 5389

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