The number 67189
67189 is a twin prime (67187 and 67189 are both prime) and the 6695th prime number. Its only divisors are 1 and 67189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67189: a twin prime (67187 and 67189 are both prime); the 6695th prime number.
- 2
67189 is prime, so its only factors are 1 and 67189. It is the 6695th prime; the next prime is 67211 and the one before is 67187.
- 3
The divisors add up to 67190; without 67189 itself that is 1, so 67189 is deficient (1 is less than 67189). Euler's totient φ(67189) = 67188 numbers up to 67189 share no factor with it.
- 4
The digits of 67189 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
67189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67190 |
| Euler totient φ(n) | 67188 |
| Square | 4514361721 |
| Cube | 303315449672269 |
| Square root | 259.208410 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7189 × |
67189 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and eighty-nine |
| Binary (base 2) | 10000011001110101 |
| Octal (base 8) | 203165 |
| Hexadecimal (base 16) | 10675 |
| Base 3 | 10102011111 |
| As time | 67189 seconds = 18 h 39 min 49 s |
Is 67189 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67189 a prime number?
Yes. 67189 is divisible only by 1 and itself.
What are the factors of 67189?
1, 67189.
What is 67189 in binary?
10000011001110101 (hexadecimal 10675, octal 203165).
What is the square root of 67189?
About 259.2084.
Is 67189 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67189?
67189 is a twin prime (67187 and 67189 are both prime); the 6695th prime number.