The number 5589
5589 is a composite number with 12 divisors. Its prime factorisation is × 23. Divisors (12): 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5589: a Harshad number: divisible by its digit sum 27.
- 2
5589 is composite. Its prime factorisation is
- 3
The divisors add up to 8736; without 5589 itself that is 3147, so 5589 is deficient (3147 is less than 5589). Euler's totient φ(5589) = 3564 numbers up to 5589 share no factor with it.
- 4
The digits of 5589 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5589 = 3^{5} \times 23 \]5589 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8736 |
| Euler totient φ(n) | 3564 |
| Square | 31236921 |
| Cube | 174583151469 |
| Square root | 74.759615 (= 9√69) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.589 × |
5589 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and eighty-nine |
| Binary (base 2) | 1010111010101 |
| Octal (base 8) | 12725 |
| Hexadecimal (base 16) | 15D5 |
| Base 3 | 21200000 |
| As time | 5589 seconds = 1 h 33 min 9 s |
Is 5589 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5589 ÷ 3 = 1863) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (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. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5589 ÷ 9 = 621) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5589 a prime number?
No. 5589 = × 23, so it is divisible by 3.
What are the factors of 5589?
1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589.
What is 5589 in binary?
1010111010101 (hexadecimal 15D5, octal 12725).
What is the square root of 5589?
About 74.7596, exactly 9√69.
Is 5589 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 5589?
5589 is a Harshad number: divisible by its digit sum 27.