The number 67271
67271 is a twin prime (67271 and 67273 are both prime) and the 6703rd prime number. Its only divisors are 1 and 67271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67271: a twin prime (67271 and 67273 are both prime); the 6703rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67271 is prime, so its only factors are 1 and 67271. It is the 6703rd prime; the next prime is 67273 and the one before is 67261.
- 3
The divisors add up to 67272; without 67271 itself that is 1, so 67271 is deficient (1 is less than 67271). Euler's totient φ(67271) = 67270 numbers up to 67271 share no factor with it.
- 4
The digits of 67271 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
67271 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67272 |
| Euler totient φ(n) | 67270 |
| Square | 4525387441 |
| Cube | 304427338543511 |
| Square root | 259.366536 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7271 × |
67271 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and seventy-one |
| Binary (base 2) | 10000011011000111 |
| Octal (base 8) | 203307 |
| Hexadecimal (base 16) | 106C7 |
| Base 3 | 10102021112 |
| As time | 67271 seconds = 18 h 41 min 11 s |
Is 67271 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 7) | 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 6) | 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 67271 a prime number?
Yes. 67271 is divisible only by 1 and itself.
What are the factors of 67271?
1, 67271.
What is 67271 in binary?
10000011011000111 (hexadecimal 106C7, octal 203307).
What is the square root of 67271?
About 259.3665.
Is 67271 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67271?
67271 is a twin prime (67271 and 67273 are both prime); the 6703rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.