The number 60397
60397 is the 6093rd prime number. Its only divisors are 1 and 60397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60397: the 6093rd prime number.
- 2
60397 is prime, so its only factors are 1 and 60397. It is the 6093rd prime; the next prime is 60413 and the one before is 60383.
- 3
The divisors add up to 60398; without 60397 itself that is 1, so 60397 is deficient (1 is less than 60397). Euler's totient φ(60397) = 60396 numbers up to 60397 share no factor with it.
- 4
The digits of 60397 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
60397 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60398 |
| Euler totient φ(n) | 60396 |
| Square | 3647797609 |
| Cube | 220316032190773 |
| Square root | 245.758011 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.0397 × |
60397 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and ninety-seven |
| Binary (base 2) | 1110101111101101 |
| Octal (base 8) | 165755 |
| Hexadecimal (base 16) | EBED |
| Base 3 | 10001211221 |
| As time | 60397 seconds = 16 h 46 min 37 s |
Is 60397 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 2) | 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 1) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 60397 a prime number?
Yes. 60397 is divisible only by 1 and itself.
What are the factors of 60397?
1, 60397.
What is 60397 in binary?
1110101111101101 (hexadecimal EBED, octal 165755).
What is the square root of 60397?
About 245.7580.
Is 60397 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 60397?
60397 is the 6093rd prime number.