The number 58113
58113 is a composite number with 12 divisors. Its prime factorisation is × 11 × 587. Divisors (12): 1, 3, 9, 11, 33, 99, 587, 1761, 5283, 6457, 19371, 58113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58113: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58113 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 58113 itself that is 33615, so 58113 is deficient (33615 is less than 58113). Euler's totient φ(58113) = 35160 numbers up to 58113 share no factor with it.
- 4
The digits of 58113 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58113 = 3^{2} \times 11 \times 587 \]58113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 35160 |
| Square | 3377120769 |
| Cube | 196254619248897 |
| Square root | 241.066381 (= 3√6457) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.8113 × |
58113 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and thirteen |
| Binary (base 2) | 1110001100000001 |
| Octal (base 8) | 161401 |
| Hexadecimal (base 16) | E301 |
| Base 3 | 2221201100 |
| As time | 58113 seconds = 16 h 8 min 33 s |
Is 58113 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 (58113 ÷ 3 = 19371) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58113 ÷ 9 = 6457) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (58113 ÷ 11 = 5283) | 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 58113 a prime number?
No. 58113 = × 11 × 587, so it is divisible by 3.
What are the factors of 58113?
1, 3, 9, 11, 33, 99, 587, 1761, 5283, 6457, 19371, 58113.
What is 58113 in binary?
1110001100000001 (hexadecimal E301, octal 161401).
What is the square root of 58113?
About 241.0664, exactly 3√6457.
Is 58113 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 58113?
58113 is a happy number: repeatedly adding the squares of its digits reaches 1.