The number 67891
67891 is the 6762nd prime number. Its only divisors are 1 and 67891.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67891: the 6762nd prime number.
- 2
67891 is prime, so its only factors are 1 and 67891. It is the 6762nd prime; the next prime is 67901 and the one before is 67883.
- 3
The divisors add up to 67892; without 67891 itself that is 1, so 67891 is deficient (1 is less than 67891). Euler's totient φ(67891) = 67890 numbers up to 67891 share no factor with it.
- 4
The digits of 67891 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 112 steps to reach 1.
67891 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67892 |
| Euler totient φ(n) | 67890 |
| Square | 4609187881 |
| Cube | 312922374428971 |
| Square root | 260.559014 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7891 × |
67891 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and ninety-one |
| Binary (base 2) | 10000100100110011 |
| Octal (base 8) | 204463 |
| Hexadecimal (base 16) | 10933 |
| Base 3 | 10110010111 |
| As time | 67891 seconds = 18 h 51 min 31 s |
Is 67891 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67891 a prime number?
Yes. 67891 is divisible only by 1 and itself.
What are the factors of 67891?
1, 67891.
What is 67891 in binary?
10000100100110011 (hexadecimal 10933, octal 204463).
What is the square root of 67891?
About 260.5590.
Is 67891 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67891?
67891 is the 6762nd prime number.