The number 5989
5989 is a composite number with 4 divisors. Its prime factorisation is 53 × 113. Divisors (4): 1, 53, 113, 5989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5989: a semiprime: 53 × 113, the product of two primes.
- 2
5989 is composite. Its prime factorisation is
- 3
The divisors add up to 6156; without 5989 itself that is 167, so 5989 is deficient (167 is less than 5989). Euler's totient φ(5989) = 5824 numbers up to 5989 share no factor with it.
- 4
The digits of 5989 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5989 = 53 \times 113 \]
5989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6156 |
| Euler totient φ(n) | 5824 |
| Square | 35868121 |
| Cube | 214814176669 |
| Square root | 77.388630 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.989 × |
5989 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and eighty-nine |
| Binary (base 2) | 1011101100101 |
| Octal (base 8) | 13545 |
| Hexadecimal (base 16) | 1765 |
| Base 3 | 22012211 |
| As time | 5989 seconds = 1 h 39 min 49 s |
Is 5989 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5989 a prime number?
No. 5989 = 53 × 113, so it is divisible by 53.
What are the factors of 5989?
1, 53, 113, 5989.
What is 5989 in binary?
1011101100101 (hexadecimal 1765, octal 13545).
What is the square root of 5989?
About 77.3886.
Is 5989 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 5989?
5989 is a semiprime: 53 × 113, the product of two primes.