The number 3011
3011 is the 432nd prime number. Its only divisors are 1 and 3011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3011: the 432nd prime number.
- 2
3011 is prime, so its only factors are 1 and 3011. It is the 432nd prime; the next prime is 3019 and the one before is 3001.
- 3
The divisors add up to 3012; without 3011 itself that is 1, so 3011 is deficient (1 is less than 3011). Euler's totient φ(3011) = 3010 numbers up to 3011 share no factor with it.
- 4
The digits of 3011 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
3011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3012 |
| Euler totient φ(n) | 3010 |
| Square | 9066121 |
| Cube | 27298090331 |
| Square root | 54.872580 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 40 |
| Scientific notation | 3.011 × |
3011 in other forms
| Form | Value |
|---|---|
| In words | three thousand and eleven |
| Roman numerals | MMMXI |
| Binary (base 2) | 101111000011 |
| Octal (base 8) | 5703 |
| Hexadecimal (base 16) | BC3 |
| Base 3 | 11010112 |
| As time | 3011 seconds = 50 min 11 s |
Is 3011 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | 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 3011 a prime number?
Yes. 3011 is divisible only by 1 and itself.
What are the factors of 3011?
1, 3011.
What is 3011 in binary?
101111000011 (hexadecimal BC3, octal 5703).
What is the square root of 3011?
About 54.8726.
What is 3011 in Roman numerals?
MMMXI.
Is 3011 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 3011?
3011 is the 432nd prime number.