The number 12167
12167 is a perfect cube (). Its prime factorisation is . Divisors (4): 1, 23, 529, 12167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12167: a perfect cube (); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12167 is composite. Its prime factorisation is
- 3
The divisors add up to 12720; without 12167 itself that is 553, so 12167 is deficient (553 is less than 12167). Euler's totient φ(12167) = 11638 numbers up to 12167 share no factor with it.
- 4
The digits of 12167 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12167 = 23^{3} \]12167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12720 |
| Euler totient φ(n) | 11638 |
| Square | 148035889 |
| Cube | 1801152661463 |
| Square root | 110.304125 (= 23√23) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2167 × |
| Perfect power |
12167 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and sixty-seven |
| Binary (base 2) | 10111110000111 |
| Octal (base 8) | 27607 |
| Hexadecimal (base 16) | 2F87 |
| Base 3 | 121200122 |
| As time | 12167 seconds = 3 h 22 min 47 s |
Is 12167 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 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 1) | 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 12167 a prime number?
No. 12167 = , so it is divisible by 23.
What are the factors of 12167?
1, 23, 529, 12167.
What is 12167 in binary?
10111110000111 (hexadecimal 2F87, octal 27607).
What is the square root of 12167?
About 110.3041, exactly 23√23.
Is 12167 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 12167?
12167 is a perfect cube (); a happy number: repeatedly adding the squares of its digits reaches 1.