The number 55989
55989 is a composite number with 6 divisors. Its prime factorisation is × 6221. Divisors (6): 1, 3, 9, 6221, 18663, 55989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55989 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55989 is composite. Its prime factorisation is
- 3
The divisors add up to 80886; without 55989 itself that is 24897, so 55989 is deficient (24897 is less than 55989). Euler's totient φ(55989) = 37320 numbers up to 55989 share no factor with it.
- 4
The digits of 55989 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55989 = 3^{2} \times 6221 \]55989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 80886 |
| Euler totient φ(n) | 37320 |
| Square | 3134768121 |
| Cube | 175512532326669 |
| Square root | 236.619948 (= 3√6221) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.5989 × |
55989 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and eighty-nine |
| Binary (base 2) | 1101101010110101 |
| Octal (base 8) | 155265 |
| Hexadecimal (base 16) | DAB5 |
| Base 3 | 2211210200 |
| As time | 55989 seconds = 15 h 33 min 9 s |
Is 55989 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 (55989 ÷ 3 = 18663) | 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 (55989 ÷ 9 = 6221) | 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 10) | 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 55989 a prime number?
No. 55989 = × 6221, so it is divisible by 3.
What are the factors of 55989?
1, 3, 9, 6221, 18663, 55989.
What is 55989 in binary?
1101101010110101 (hexadecimal DAB5, octal 155265).
What is the square root of 55989?
About 236.6199, exactly 3√6221.
Is 55989 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 55989?
It is a composite number with 6 divisors.