The number 58089
58089 is a composite number with 12 divisors. Its prime factorisation is 3 × × 67. Divisors (12): 1, 3, 17, 51, 67, 201, 289, 867, 1139, 3417, 19363, 58089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58089 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58089 is composite. Its prime factorisation is
- 3
The divisors add up to 83504; without 58089 itself that is 25415, so 58089 is deficient (25415 is less than 58089). Euler's totient φ(58089) = 35904 numbers up to 58089 share no factor with it.
- 4
The digits of 58089 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 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58089 = 3 \times 17^{2} \times 67 \]58089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83504 |
| Euler totient φ(n) | 35904 |
| Square | 3374331921 |
| Cube | 196011566958969 |
| Square root | 241.016597 (= 17√201) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.8089 × |
58089 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and eighty-nine |
| Binary (base 2) | 1110001011101001 |
| Octal (base 8) | 161351 |
| Hexadecimal (base 16) | E2E9 |
| Base 3 | 2221200110 |
| As time | 58089 seconds = 16 h 8 min 9 s |
Is 58089 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 (58089 ÷ 3 = 19363) | 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 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 9) | 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 58089 a prime number?
No. 58089 = 3 × × 67, so it is divisible by 3.
What are the factors of 58089?
1, 3, 17, 51, 67, 201, 289, 867, 1139, 3417, 19363, 58089.
What is 58089 in binary?
1110001011101001 (hexadecimal E2E9, octal 161351).
What is the square root of 58089?
About 241.0166, exactly 17√201.
Is 58089 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 58089?
It is a composite number with 12 divisors.