The number 67167
67167 is a composite number with 12 divisors. Its prime factorisation is × 17 × 439. Divisors (12): 1, 3, 9, 17, 51, 153, 439, 1317, 3951, 7463, 22389, 67167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67167 is composite. Its prime factorisation is
- 3
The divisors add up to 102960; without 67167 itself that is 35793, so 67167 is deficient (35793 is less than 67167). Euler's totient φ(67167) = 42048 numbers up to 67167 share no factor with it.
- 4
The digits of 67167 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67167 = 3^{2} \times 17 \times 439 \]67167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 102960 |
| Euler totient φ(n) | 42048 |
| Square | 4511405889 |
| Cube | 303017599346463 |
| Square root | 259.165970 (= 3√7463) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7167 × |
67167 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and sixty-seven |
| Binary (base 2) | 10000011001011111 |
| Octal (base 8) | 203137 |
| Hexadecimal (base 16) | 1065F |
| Base 3 | 10102010200 |
| As time | 67167 seconds = 18 h 39 min 27 s |
Is 67167 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 | Yes (67167 ÷ 3 = 22389) | 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 3) | 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 | Yes (67167 ÷ 9 = 7463) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67167 a prime number?
No. 67167 = × 17 × 439, so it is divisible by 3.
What are the factors of 67167?
1, 3, 9, 17, 51, 153, 439, 1317, 3951, 7463, 22389, 67167.
What is 67167 in binary?
10000011001011111 (hexadecimal 1065F, octal 203137).
What is the square root of 67167?
About 259.1660, exactly 3√7463.
Is 67167 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67167?
It is a composite number with 12 divisors.