The number 5889
5889 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 151. Divisors (8): 1, 3, 13, 39, 151, 453, 1963, 5889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5889 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5889 is composite. Its prime factorisation is
- 3
The divisors add up to 8512; without 5889 itself that is 2623, so 5889 is deficient (2623 is less than 5889). Euler's totient φ(5889) = 3600 numbers up to 5889 share no factor with it.
- 4
The digits of 5889 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5889 = 3 \times 13 \times 151 \]
5889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8512 |
| Euler totient φ(n) | 3600 |
| Square | 34680321 |
| Cube | 204232410369 |
| Square root | 76.739820 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 98 |
| Scientific notation | 5.889 × |
5889 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and eighty-nine |
| Binary (base 2) | 1011100000001 |
| Octal (base 8) | 13401 |
| Hexadecimal (base 16) | 1701 |
| Base 3 | 22002010 |
| As time | 5889 seconds = 1 h 38 min 9 s |
Is 5889 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 (5889 ÷ 3 = 1963) | 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 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. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | 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 5889 a prime number?
No. 5889 = 3 × 13 × 151, so it is divisible by 3.
What are the factors of 5889?
1, 3, 13, 39, 151, 453, 1963, 5889.
What is 5889 in binary?
1011100000001 (hexadecimal 1701, octal 13401).
What is the square root of 5889?
About 76.7398.
Is 5889 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 5889?
It is a composite number with 8 divisors.