The number 67273
67273 is a twin prime (67271 and 67273 are both prime) and the 6704th prime number. Its only divisors are 1 and 67273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67273: a twin prime (67271 and 67273 are both prime); the 6704th prime number.
- 2
67273 is prime, so its only factors are 1 and 67273. It is the 6704th prime; the next prime is 67289 and the one before is 67271.
- 3
The divisors add up to 67274; without 67273 itself that is 1, so 67273 is deficient (1 is less than 67273). Euler's totient φ(67273) = 67272 numbers up to 67273 share no factor with it.
- 4
The digits of 67273 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
67273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67274 |
| Euler totient φ(n) | 67272 |
| Square | 4525656529 |
| Cube | 304454491675417 |
| Square root | 259.370392 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7273 × |
67273 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and seventy-three |
| Binary (base 2) | 10000011011001001 |
| Octal (base 8) | 203311 |
| Hexadecimal (base 16) | 106C9 |
| Base 3 | 10102021121 |
| As time | 67273 seconds = 18 h 41 min 13 s |
Is 67273 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | 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 67273 a prime number?
Yes. 67273 is divisible only by 1 and itself.
What are the factors of 67273?
1, 67273.
What is 67273 in binary?
10000011011001001 (hexadecimal 106C9, octal 203311).
What is the square root of 67273?
About 259.3704.
Is 67273 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67273?
67273 is a twin prime (67271 and 67273 are both prime); the 6704th prime number.