The number 6967
6967 is the 895th prime number. Its only divisors are 1 and 6967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6967: the 895th prime number.
- 2
6967 is prime, so its only factors are 1 and 6967. It is the 895th prime; the next prime is 6971 and the one before is 6961.
- 3
The divisors add up to 6968; without 6967 itself that is 1, so 6967 is deficient (1 is less than 6967). Euler's totient φ(6967) = 6966 numbers up to 6967 share no factor with it.
- 4
The digits of 6967 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 88 steps to reach 1.
6967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6968 |
| Euler totient φ(n) | 6966 |
| Square | 48539089 |
| Cube | 338171833063 |
| Square root | 83.468557 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.967 × |
6967 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and sixty-seven |
| Binary (base 2) | 1101100110111 |
| Octal (base 8) | 15467 |
| Hexadecimal (base 16) | 1B37 |
| Base 3 | 100120001 |
| As time | 6967 seconds = 1 h 56 min 7 s |
Is 6967 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 2) | 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 7) | 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 4) | 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 6967 a prime number?
Yes. 6967 is divisible only by 1 and itself.
What are the factors of 6967?
1, 6967.
What is 6967 in binary?
1101100110111 (hexadecimal 1B37, octal 15467).
What is the square root of 6967?
About 83.4686.
Is 6967 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 6967?
6967 is the 895th prime number.