The number 59341
59341 is the 5997th prime number. Its only divisors are 1 and 59341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59341: the 5997th prime number.
- 2
59341 is prime, so its only factors are 1 and 59341. It is the 5997th prime; the next prime is 59351 and the one before is 59333.
- 3
The divisors add up to 59342; without 59341 itself that is 1, so 59341 is deficient (1 is less than 59341). Euler's totient φ(59341) = 59340 numbers up to 59341 share no factor with it.
- 4
The digits of 59341 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 122 steps to reach 1.
59341 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59342 |
| Euler totient φ(n) | 59340 |
| Square | 3521354281 |
| Cube | 208960684388821 |
| Square root | 243.600082 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.9341 × |
59341 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand three hundred and forty-one |
| Binary (base 2) | 1110011111001101 |
| Octal (base 8) | 163715 |
| Hexadecimal (base 16) | E7CD |
| Base 3 | 10000101211 |
| As time | 59341 seconds = 16 h 29 min 1 s |
Is 59341 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 5) | 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 7) | 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 59341 a prime number?
Yes. 59341 is divisible only by 1 and itself.
What are the factors of 59341?
1, 59341.
What is 59341 in binary?
1110011111001101 (hexadecimal E7CD, octal 163715).
What is the square root of 59341?
About 243.6001.
Is 59341 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 59341?
59341 is the 5997th prime number.