The number 58243
58243 is the 5901st prime number. Its only divisors are 1 and 58243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58243: the 5901st prime number.
- 2
58243 is prime, so its only factors are 1 and 58243. It is the 5901st prime; the next prime is 58271 and the one before is 58237.
- 3
The divisors add up to 58244; without 58243 itself that is 1, so 58243 is deficient (1 is less than 58243). Euler's totient φ(58243) = 58242 numbers up to 58243 share no factor with it.
- 4
The digits of 58243 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 166 steps to reach 1.
58243 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58244 |
| Euler totient φ(n) | 58242 |
| Square | 3392247049 |
| Cube | 197574644874907 |
| Square root | 241.335866 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8243 × |
58243 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred and forty-three |
| Binary (base 2) | 1110001110000011 |
| Octal (base 8) | 161603 |
| Hexadecimal (base 16) | E383 |
| Base 3 | 2221220011 |
| As time | 58243 seconds = 16 h 10 min 43 s |
Is 58243 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 3) | 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 3) | 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 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58243 a prime number?
Yes. 58243 is divisible only by 1 and itself.
What are the factors of 58243?
1, 58243.
What is 58243 in binary?
1110001110000011 (hexadecimal E383, octal 161603).
What is the square root of 58243?
About 241.3359.
Is 58243 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58243?
58243 is the 5901st prime number.