The number 58393
58393 is a twin prime (58391 and 58393 are both prime) and the 5912th prime number. Its only divisors are 1 and 58393.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58393: a twin prime (58391 and 58393 are both prime); the 5912th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58393 is prime, so its only factors are 1 and 58393. It is the 5912th prime; the next prime is 58403 and the one before is 58391.
- 3
The divisors add up to 58394; without 58393 itself that is 1, so 58393 is deficient (1 is less than 58393). Euler's totient φ(58393) = 58392 numbers up to 58393 share no factor with it.
- 4
The digits of 58393 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
58393 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58394 |
| Euler totient φ(n) | 58392 |
| Square | 3409742449 |
| Cube | 199105090824457 |
| Square root | 241.646436 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8393 × |
58393 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and ninety-three |
| Binary (base 2) | 1110010000011001 |
| Octal (base 8) | 162031 |
| Hexadecimal (base 16) | E419 |
| Base 3 | 2222002201 |
| As time | 58393 seconds = 16 h 13 min 13 s |
Is 58393 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 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 | No (remainder 1) | 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 | No (remainder 5) | 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 58393 a prime number?
Yes. 58393 is divisible only by 1 and itself.
What are the factors of 58393?
1, 58393.
What is 58393 in binary?
1110010000011001 (hexadecimal E419, octal 162031).
What is the square root of 58393?
About 241.6464.
Is 58393 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 58393?
58393 is a twin prime (58391 and 58393 are both prime); the 5912th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.