The number 58005
58005 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1289. Divisors (12): 1, 3, 5, 9, 15, 45, 1289, 3867, 6445, 11601, 19335, 58005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58005 is composite. Its prime factorisation is
- 3
The divisors add up to 100620; without 58005 itself that is 42615, so 58005 is deficient (42615 is less than 58005). Euler's totient φ(58005) = 30912 numbers up to 58005 share no factor with it.
- 4
The digits of 58005 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58005 = 3^{2} \times 5 \times 1289 \]58005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100620 |
| Euler totient φ(n) | 30912 |
| Square | 3364580025 |
| Cube | 195162464350125 |
| Square root | 240.842272 (= 3√6445) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8005 × |
58005 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and five |
| Binary (base 2) | 1110001010010101 |
| Octal (base 8) | 161225 |
| Hexadecimal (base 16) | E295 |
| Base 3 | 2221120100 |
| As time | 58005 seconds = 16 h 6 min 45 s |
Is 58005 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 (58005 ÷ 3 = 19335) | 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 | Yes (58005 ÷ 5 = 11601) | 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 (58005 ÷ 9 = 6445) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58005 a prime number?
No. 58005 = × 5 × 1289, so it is divisible by 3.
What are the factors of 58005?
1, 3, 5, 9, 15, 45, 1289, 3867, 6445, 11601, 19335, 58005.
What is 58005 in binary?
1110001010010101 (hexadecimal E295, octal 161225).
What is the square root of 58005?
About 240.8423, exactly 3√6445.
Is 58005 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 58005?
It is a composite number with 12 divisors.