The number 58989
58989 is a composite number with 12 divisors. Its prime factorisation is 3 × 7 × . Divisors (12): 1, 3, 7, 21, 53, 159, 371, 1113, 2809, 8427, 19663, 58989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58989 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58989 is composite. Its prime factorisation is
- 3
The divisors add up to 91616; without 58989 itself that is 32627, so 58989 is deficient (32627 is less than 58989). Euler's totient φ(58989) = 33072 numbers up to 58989 share no factor with it.
- 4
The digits of 58989 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58989 = 3 \times 7 \times 53^{2} \]58989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91616 |
| Euler totient φ(n) | 33072 |
| Square | 3479702121 |
| Cube | 205264148415669 |
| Square root | 242.876512 (= 53√21) |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8989 × |
58989 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and eighty-nine |
| Binary (base 2) | 1110011001101101 |
| Octal (base 8) | 163155 |
| Hexadecimal (base 16) | E66D |
| Base 3 | 2222220210 |
| As time | 58989 seconds = 16 h 23 min 9 s |
Is 58989 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 (58989 ÷ 3 = 19663) | 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 | Yes (58989 ÷ 7 = 8427) | 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 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 7) | 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 58989 a prime number?
No. 58989 = 3 × 7 × , so it is divisible by 3.
What are the factors of 58989?
1, 3, 7, 21, 53, 159, 371, 1113, 2809, 8427, 19663, 58989.
What is 58989 in binary?
1110011001101101 (hexadecimal E66D, octal 163155).
What is the square root of 58989?
About 242.8765, exactly 53√21.
Is 58989 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 58989?
It is a composite number with 12 divisors.