The number 58993
58993 is a composite number with 8 divisors. Its prime factorisation is 11 × 31 × 173. Divisors (8): 1, 11, 31, 173, 341, 1903, 5363, 58993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58993 is composite. Its prime factorisation is
- 3
The divisors add up to 66816; without 58993 itself that is 7823, so 58993 is deficient (7823 is less than 58993). Euler's totient φ(58993) = 51600 numbers up to 58993 share no factor with it.
- 4
The digits of 58993 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58993 = 11 \times 31 \times 173 \]
58993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66816 |
| Euler totient φ(n) | 51600 |
| Square | 3480174049 |
| Cube | 205305907672657 |
| Square root | 242.884746 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8993 × |
58993 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and ninety-three |
| Binary (base 2) | 1110011001110001 |
| Octal (base 8) | 163161 |
| Hexadecimal (base 16) | E671 |
| Base 3 | 2222220221 |
| As time | 58993 seconds = 16 h 23 min 13 s |
Is 58993 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 3) | 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 4) | 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 7) | 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 (58993 ÷ 11 = 5363) | 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 58993 a prime number?
No. 58993 = 11 × 31 × 173, so it is divisible by 11.
What are the factors of 58993?
1, 11, 31, 173, 341, 1903, 5363, 58993.
What is 58993 in binary?
1110011001110001 (hexadecimal E671, octal 163161).
What is the square root of 58993?
About 242.8847.
Is 58993 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 58993?
It is a composite number with 8 divisors.