The number 3167
3167 is a twin prime (3167 and 3169 are both prime) and the 448th prime number. Its only divisors are 1 and 3167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3167: a twin prime (3167 and 3169 are both prime); the 448th prime number.
- 2
3167 is prime, so its only factors are 1 and 3167. It is the 448th prime; the next prime is 3169 and the one before is 3163.
- 3
The divisors add up to 3168; without 3167 itself that is 1, so 3167 is deficient (1 is less than 3167). Euler's totient φ(3167) = 3166 numbers up to 3167 share no factor with it.
- 4
The digits of 3167 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
3167 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3168 |
| Euler totient φ(n) | 3166 |
| Square | 10029889 |
| Cube | 31764658463 |
| Square root | 56.276105 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 167 |
| Scientific notation | 3.167 × |
3167 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and sixty-seven |
| Roman numerals | MMMCLXVII |
| Binary (base 2) | 110001011111 |
| Octal (base 8) | 6137 |
| Hexadecimal (base 16) | C5F |
| Base 3 | 11100022 |
| As time | 3167 seconds = 52 min 47 s |
Is 3167 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 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 7) | 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 10) | 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 3167 a prime number?
Yes. 3167 is divisible only by 1 and itself.
What are the factors of 3167?
1, 3167.
What is 3167 in binary?
110001011111 (hexadecimal C5F, octal 6137).
What is the square root of 3167?
About 56.2761.
What is 3167 in Roman numerals?
MMMCLXVII.
Is 3167 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3167?
3167 is a twin prime (3167 and 3169 are both prime); the 448th prime number.