The number 5011
5011 is a twin prime (5009 and 5011 are both prime) and the 672nd prime number. Its only divisors are 1 and 5011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5011: a twin prime (5009 and 5011 are both prime); the 672nd prime number.
- 2
5011 is prime, so its only factors are 1 and 5011. It is the 672nd prime; the next prime is 5021 and the one before is 5009.
- 3
The divisors add up to 5012; without 5011 itself that is 1, so 5011 is deficient (1 is less than 5011). Euler's totient φ(5011) = 5010 numbers up to 5011 share no factor with it.
- 4
The digits of 5011 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
5011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5012 |
| Euler totient φ(n) | 5010 |
| Square | 25110121 |
| Cube | 125826816331 |
| Square root | 70.788417 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 5.011 × |
5011 in other forms
| Form | Value |
|---|---|
| In words | five thousand and eleven |
| Binary (base 2) | 1001110010011 |
| Octal (base 8) | 11623 |
| Hexadecimal (base 16) | 1393 |
| Base 3 | 20212121 |
| As time | 5011 seconds = 1 h 23 min 31 s |
Is 5011 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 1) | 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 6) | 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 7) | 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 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 5011 a prime number?
Yes. 5011 is divisible only by 1 and itself.
What are the factors of 5011?
1, 5011.
What is 5011 in binary?
1001110010011 (hexadecimal 1393, octal 11623).
What is the square root of 5011?
About 70.7884.
Is 5011 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 5011?
5011 is a twin prime (5009 and 5011 are both prime); the 672nd prime number.