The number 67187
67187 is a twin prime (67187 and 67189 are both prime) and the 6694th prime number. Its only divisors are 1 and 67187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67187: a twin prime (67187 and 67189 are both prime); the 6694th prime number.
- 2
67187 is prime, so its only factors are 1 and 67187. It is the 6694th prime; the next prime is 67189 and the one before is 67181.
- 3
The divisors add up to 67188; without 67187 itself that is 1, so 67187 is deficient (1 is less than 67187). Euler's totient φ(67187) = 67186 numbers up to 67187 share no factor with it.
- 4
The digits of 67187 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
67187 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67188 |
| Euler totient φ(n) | 67186 |
| Square | 4514092969 |
| Cube | 303288364308203 |
| Square root | 259.204552 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.7187 × |
67187 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and eighty-seven |
| Binary (base 2) | 10000011001110011 |
| Octal (base 8) | 203163 |
| Hexadecimal (base 16) | 10673 |
| Base 3 | 10102011102 |
| As time | 67187 seconds = 18 h 39 min 47 s |
Is 67187 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 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 3) | 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 10) | 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 67187 a prime number?
Yes. 67187 is divisible only by 1 and itself.
What are the factors of 67187?
1, 67187.
What is 67187 in binary?
10000011001110011 (hexadecimal 10673, octal 203163).
What is the square root of 67187?
About 259.2046.
Is 67187 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67187?
67187 is a twin prime (67187 and 67189 are both prime); the 6694th prime number.