The number 5867
5867 is a twin prime (5867 and 5869 are both prime) and the 772nd prime number. Its only divisors are 1 and 5867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5867: a twin prime (5867 and 5869 are both prime); the 772nd prime number.
- 2
5867 is prime, so its only factors are 1 and 5867. It is the 772nd prime; the next prime is 5869 and the one before is 5861.
- 3
The divisors add up to 5868; without 5867 itself that is 1, so 5867 is deficient (1 is less than 5867). Euler's totient φ(5867) = 5866 numbers up to 5867 share no factor with it.
- 4
The digits of 5867 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
5867 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5868 |
| Euler totient φ(n) | 5866 |
| Square | 34421689 |
| Cube | 201952049363 |
| Square root | 76.596345 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.867 × |
5867 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and sixty-seven |
| Binary (base 2) | 1011011101011 |
| Octal (base 8) | 13353 |
| Hexadecimal (base 16) | 16EB |
| Base 3 | 22001022 |
| As time | 5867 seconds = 1 h 37 min 47 s |
Is 5867 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 8) | 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 4) | 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 5867 a prime number?
Yes. 5867 is divisible only by 1 and itself.
What are the factors of 5867?
1, 5867.
What is 5867 in binary?
1011011101011 (hexadecimal 16EB, octal 13353).
What is the square root of 5867?
About 76.5963.
Is 5867 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 5867?
5867 is a twin prime (5867 and 5869 are both prime); the 772nd prime number.