The number 60337
60337 is the 6088th prime number. Its only divisors are 1 and 60337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60337: the 6088th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60337 is prime, so its only factors are 1 and 60337. It is the 6088th prime; the next prime is 60343 and the one before is 60331.
- 3
The divisors add up to 60338; without 60337 itself that is 1, so 60337 is deficient (1 is less than 60337). Euler's totient φ(60337) = 60336 numbers up to 60337 share no factor with it.
- 4
The digits of 60337 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
60337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60338 |
| Euler totient φ(n) | 60336 |
| Square | 3640553569 |
| Cube | 219660080692753 |
| Square root | 245.635909 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.0337 × |
60337 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and thirty-seven |
| Binary (base 2) | 1110101110110001 |
| Octal (base 8) | 165661 |
| Hexadecimal (base 16) | EBB1 |
| Base 3 | 10001202201 |
| As time | 60337 seconds = 16 h 45 min 37 s |
Is 60337 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 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 1) | 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 2) | 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 60337 a prime number?
Yes. 60337 is divisible only by 1 and itself.
What are the factors of 60337?
1, 60337.
What is 60337 in binary?
1110101110110001 (hexadecimal EBB1, octal 165661).
What is the square root of 60337?
About 245.6359.
Is 60337 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 60337?
60337 is the 6088th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.