The number 7867
7867 is the 993rd prime number. Its only divisors are 1 and 7867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7867: the 993rd prime number.
- 2
7867 is prime, so its only factors are 1 and 7867. It is the 993rd prime; the next prime is 7873 and the one before is 7853.
- 3
The divisors add up to 7868; without 7867 itself that is 1, so 7867 is deficient (1 is less than 7867). Euler's totient φ(7867) = 7866 numbers up to 7867 share no factor with it.
- 4
The digits of 7867 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
7867 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7868 |
| Euler totient φ(n) | 7866 |
| Square | 61889689 |
| Cube | 486886183363 |
| Square root | 88.696110 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.867 × |
7867 in other forms
| Form | Value |
|---|---|
| In words | seven thousand eight hundred and sixty-seven |
| Binary (base 2) | 1111010111011 |
| Octal (base 8) | 17273 |
| Hexadecimal (base 16) | 1EBB |
| Base 3 | 101210101 |
| As time | 7867 seconds = 2 h 11 min 7 s |
Is 7867 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 2) | 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 6) | 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 1) | 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 2) | 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 7867 a prime number?
Yes. 7867 is divisible only by 1 and itself.
What are the factors of 7867?
1, 7867.
What is 7867 in binary?
1111010111011 (hexadecimal 1EBB, octal 17273).
What is the square root of 7867?
About 88.6961.
Is 7867 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 7867?
7867 is the 993rd prime number.