The number 58011
58011 is a composite number with 8 divisors. Its prime factorisation is 3 × 61 × 317. Divisors (8): 1, 3, 61, 183, 317, 951, 19337, 58011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58011: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58011 is composite. Its prime factorisation is
- 3
The divisors add up to 78864; without 58011 itself that is 20853, so 58011 is deficient (20853 is less than 58011). Euler's totient φ(58011) = 37920 numbers up to 58011 share no factor with it.
- 4
The digits of 58011 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58011 = 3 \times 61 \times 317 \]
58011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78864 |
| Euler totient φ(n) | 37920 |
| Square | 3365276121 |
| Cube | 195223033055331 |
| Square root | 240.854728 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 179 |
| Scientific notation | 5.8011 × |
58011 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and eleven |
| Binary (base 2) | 1110001010011011 |
| Octal (base 8) | 161233 |
| Hexadecimal (base 16) | E29B |
| Base 3 | 2221120120 |
| As time | 58011 seconds = 16 h 6 min 51 s |
Is 58011 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 (58011 ÷ 3 = 19337) | 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 | No (remainder 1) | 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 2) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 58011 a prime number?
No. 58011 = 3 × 61 × 317, so it is divisible by 3.
What are the factors of 58011?
1, 3, 61, 183, 317, 951, 19337, 58011.
What is 58011 in binary?
1110001010011011 (hexadecimal E29B, octal 161233).
What is the square root of 58011?
About 240.8547.
Is 58011 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 58011?
58011 is a happy number: repeatedly adding the squares of its digits reaches 1.