The number 67211
67211 is a twin prime (67211 and 67213 are both prime) and the 6696th prime number. Its only divisors are 1 and 67211.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67211: a twin prime (67211 and 67213 are both prime); the 6696th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67211 is prime, so its only factors are 1 and 67211. It is the 6696th prime; the next prime is 67213 and the one before is 67189.
- 3
The divisors add up to 67212; without 67211 itself that is 1, so 67211 is deficient (1 is less than 67211). Euler's totient φ(67211) = 67210 numbers up to 67211 share no factor with it.
- 4
The digits of 67211 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
67211 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67212 |
| Euler totient φ(n) | 67210 |
| Square | 4517318521 |
| Cube | 303613495114931 |
| Square root | 259.250844 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7211 × |
67211 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and eleven |
| Binary (base 2) | 10000011010001011 |
| Octal (base 8) | 203213 |
| Hexadecimal (base 16) | 1068B |
| Base 3 | 10102012022 |
| As time | 67211 seconds = 18 h 40 min 11 s |
Is 67211 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 67211 a prime number?
Yes. 67211 is divisible only by 1 and itself.
What are the factors of 67211?
1, 67211.
What is 67211 in binary?
10000011010001011 (hexadecimal 1068B, octal 203213).
What is the square root of 67211?
About 259.2508.
Is 67211 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 67211?
67211 is a twin prime (67211 and 67213 are both prime); the 6696th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.