The number 6067
6067 is the 791st prime number. Its only divisors are 1 and 6067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6067: the 791st prime number.
- 2
6067 is prime, so its only factors are 1 and 6067. It is the 791st prime; the next prime is 6073 and the one before is 6053.
- 3
The divisors add up to 6068; without 6067 itself that is 1, so 6067 is deficient (1 is less than 6067). Euler's totient φ(6067) = 6066 numbers up to 6067 share no factor with it.
- 4
The digits of 6067 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 23 steps to reach 1.
6067 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6068 |
| Euler totient φ(n) | 6066 |
| Square | 36808489 |
| Cube | 223317102763 |
| Square root | 77.890949 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 23 |
| Scientific notation | 6.067 × |
6067 in other forms
| Form | Value |
|---|---|
| In words | six thousand and sixty-seven |
| Binary (base 2) | 1011110110011 |
| Octal (base 8) | 13663 |
| Hexadecimal (base 16) | 17B3 |
| Base 3 | 22022201 |
| As time | 6067 seconds = 1 h 41 min 7 s |
Is 6067 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 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 5) | 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 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 6) | 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 6067 a prime number?
Yes. 6067 is divisible only by 1 and itself.
What are the factors of 6067?
1, 6067.
What is 6067 in binary?
1011110110011 (hexadecimal 17B3, octal 13663).
What is the square root of 6067?
About 77.8909.
Is 6067 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 6067?
6067 is the 791st prime number.