The number 6011
6011 is the 785th prime number. Its only divisors are 1 and 6011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6011: the 785th prime number.
- 2
6011 is prime, so its only factors are 1 and 6011. It is the 785th prime; the next prime is 6029 and the one before is 6007.
- 3
The divisors add up to 6012; without 6011 itself that is 1, so 6011 is deficient (1 is less than 6011). Euler's totient φ(6011) = 6010 numbers up to 6011 share no factor with it.
- 4
The digits of 6011 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
6011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6012 |
| Euler totient φ(n) | 6010 |
| Square | 36132121 |
| Cube | 217190179331 |
| Square root | 77.530639 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 6.011 × |
6011 in other forms
| Form | Value |
|---|---|
| In words | six thousand and eleven |
| Binary (base 2) | 1011101111011 |
| Octal (base 8) | 13573 |
| Hexadecimal (base 16) | 177B |
| Base 3 | 22020122 |
| As time | 6011 seconds = 1 h 40 min 11 s |
Is 6011 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 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6011 a prime number?
Yes. 6011 is divisible only by 1 and itself.
What are the factors of 6011?
1, 6011.
What is 6011 in binary?
1011101111011 (hexadecimal 177B, octal 13573).
What is the square root of 6011?
About 77.5306.
Is 6011 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 6011?
6011 is the 785th prime number.