The number 71011
71011 is the 7034th prime number. Its only divisors are 1 and 71011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71011: the 7034th prime number.
- 2
71011 is prime, so its only factors are 1 and 71011. It is the 7034th prime; the next prime is 71023 and the one before is 70999.
- 3
The divisors add up to 71012; without 71011 itself that is 1, so 71011 is deficient (1 is less than 71011). Euler's totient φ(71011) = 71010 numbers up to 71011 share no factor with it.
- 4
The digits of 71011 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
71011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71012 |
| Euler totient φ(n) | 71010 |
| Square | 5042562121 |
| Cube | 358077378774331 |
| Square root | 266.478892 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.1011 × |
71011 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and eleven |
| Binary (base 2) | 10001010101100011 |
| Octal (base 8) | 212543 |
| Hexadecimal (base 16) | 11563 |
| Base 3 | 10121102001 |
| As time | 71011 seconds = 19 h 43 min 31 s |
Is 71011 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 3) | 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 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 71011 a prime number?
Yes. 71011 is divisible only by 1 and itself.
What are the factors of 71011?
1, 71011.
What is 71011 in binary?
10001010101100011 (hexadecimal 11563, octal 212543).
What is the square root of 71011?
About 266.4789.
Is 71011 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 71011?
71011 is the 7034th prime number.