The number 58081
58081 is a perfect square (241²). Its prime factorisation is . Divisors (3): 1, 241, 58081.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58081: a perfect square (241²); the square of a prime (241²).
- 2
58081 is composite. Its prime factorisation is
- 3
The divisors add up to 58323; without 58081 itself that is 242, so 58081 is deficient (242 is less than 58081). Euler's totient φ(58081) = 57840 numbers up to 58081 share no factor with it.
- 4
The digits of 58081 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58081 = 241^{2} \]58081 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 58323 |
| Euler totient φ(n) | 57840 |
| Square | 3373402561 |
| Cube | 195930594145441 |
| Square root | 241 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 179 |
| Scientific notation | 5.8081 × |
| Perfect power |
58081 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and eighty-one |
| Binary (base 2) | 1110001011100001 |
| Octal (base 8) | 161341 |
| Hexadecimal (base 16) | E2E1 |
| Base 3 | 2221200011 |
| As time | 58081 seconds = 16 h 8 min 1 s |
Is 58081 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 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58081 a prime number?
No. 58081 = , so it is divisible by 241.
What are the factors of 58081?
1, 241, 58081.
What is 58081 in binary?
1110001011100001 (hexadecimal E2E1, octal 161341).
What is the square root of 58081?
241, because 241 × 241 = 58081.
Is 58081 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58081?
58081 is a perfect square (241²); the square of a prime (241²).