The number 58995
58995 is a composite number with 32 divisors. Its prime factorisation is × 5 × 19 × 23. Divisors (32): 1, 3, 5, 9, 15, 19, 23, 27, 45, 57, 69, 95, 115, 135, 171, 207 … 58995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58995 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58995 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 58995 itself that is 56205, so 58995 is deficient (56205 is less than 58995). Euler's totient φ(58995) = 28512 numbers up to 58995 share no factor with it.
- 4
The digits of 58995 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58995 = 3^{3} \times 5 \times 19 \times 23 \]58995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 28512 |
| Square | 3480410025 |
| Cube | 205326789424875 |
| Square root | 242.888863 (= 3√6555) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8995 × |
58995 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and ninety-five |
| Binary (base 2) | 1110011001110011 |
| Octal (base 8) | 163163 |
| Hexadecimal (base 16) | E673 |
| Base 3 | 2222221000 |
| As time | 58995 seconds = 16 h 23 min 15 s |
Is 58995 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 (58995 ÷ 3 = 19665) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58995 ÷ 5 = 11799) | 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 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58995 ÷ 9 = 6555) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58995 a prime number?
No. 58995 = × 5 × 19 × 23, so it is divisible by 3.
What are the factors of 58995?
1, 3, 5, 9, 15, 19, 23, 27, 45, 57, 69, 95, 115, 135, 171, 207, 285, 345, 437, 513, 621, 855, 1035, 1311, 2185, 2565, 3105, 3933, 6555, 11799, 19665, 58995.
What is 58995 in binary?
1110011001110011 (hexadecimal E673, octal 163163).
What is the square root of 58995?
About 242.8889, exactly 3√6555.
Is 58995 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 58995?
It is a composite number with 32 divisors.