The number 67213
67213 is a twin prime (67211 and 67213 are both prime) and the 6697th prime number. Its only divisors are 1 and 67213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67213: a twin prime (67211 and 67213 are both prime); the 6697th prime number.
- 2
67213 is prime, so its only factors are 1 and 67213. It is the 6697th prime; the next prime is 67217 and the one before is 67211.
- 3
The divisors add up to 67214; without 67213 itself that is 1, so 67213 is deficient (1 is less than 67213). Euler's totient φ(67213) = 67212 numbers up to 67213 share no factor with it.
- 4
The digits of 67213 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
67213 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67214 |
| Euler totient φ(n) | 67212 |
| Square | 4517587369 |
| Cube | 303640599832597 |
| Square root | 259.254701 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7213 × |
67213 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and thirteen |
| Binary (base 2) | 10000011010001101 |
| Octal (base 8) | 203215 |
| Hexadecimal (base 16) | 1068D |
| Base 3 | 10102012101 |
| As time | 67213 seconds = 18 h 40 min 13 s |
Is 67213 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67213 a prime number?
Yes. 67213 is divisible only by 1 and itself.
What are the factors of 67213?
1, 67213.
What is 67213 in binary?
10000011010001101 (hexadecimal 1068D, octal 203215).
What is the square root of 67213?
About 259.2547.
Is 67213 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67213?
67213 is a twin prime (67211 and 67213 are both prime); the 6697th prime number.