The number 71327
71327 is a twin prime (71327 and 71329 are both prime) and the 7060th prime number. Its only divisors are 1 and 71327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71327: a twin prime (71327 and 71329 are both prime); the 7060th prime number.
- 2
71327 is prime, so its only factors are 1 and 71327. It is the 7060th prime; the next prime is 71329 and the one before is 71317.
- 3
The divisors add up to 71328; without 71327 itself that is 1, so 71327 is deficient (1 is less than 71327). Euler's totient φ(71327) = 71326 numbers up to 71327 share no factor with it.
- 4
The digits of 71327 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
71327 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71328 |
| Euler totient φ(n) | 71326 |
| Square | 5087540929 |
| Cube | 362879031842783 |
| Square root | 267.071152 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.1327 × |
71327 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and twenty-seven |
| Binary (base 2) | 10001011010011111 |
| Octal (base 8) | 213237 |
| Hexadecimal (base 16) | 1169F |
| Base 3 | 10121211202 |
| As time | 71327 seconds = 19 h 48 min 47 s |
Is 71327 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 2) | 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 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 71327 a prime number?
Yes. 71327 is divisible only by 1 and itself.
What are the factors of 71327?
1, 71327.
What is 71327 in binary?
10001011010011111 (hexadecimal 1169F, octal 213237).
What is the square root of 71327?
About 267.0712.
Is 71327 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 71327?
71327 is a twin prime (71327 and 71329 are both prime); the 7060th prime number.