The number 67134
67134 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 67 × 167. Divisors (16): 1, 2, 3, 6, 67, 134, 167, 201, 334, 402, 501, 1002, 11189, 22378, 33567, 67134.
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How to work it out
- 1
67134 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67134 is composite. Its prime factorisation is
- 3
The divisors add up to 137088; without 67134 itself that is 69954, so 67134 is abundant (69954 is more than 67134). Euler's totient φ(67134) = 21912 numbers up to 67134 share no factor with it.
- 4
The digits of 67134 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67134 = 2 \times 3 \times 67 \times 167 \]
67134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 137088 |
| Euler totient φ(n) | 21912 |
| Square | 4506973956 |
| Cube | 302571189562104 |
| Square root | 259.102296 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7134 × |
67134 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and thirty-four |
| Binary (base 2) | 10000011000111110 |
| Octal (base 8) | 203076 |
| Hexadecimal (base 16) | 1063E |
| Base 3 | 10102002110 |
| As time | 67134 seconds = 18 h 38 min 54 s |
Is 67134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67134 ÷ 2 = 33567) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67134 ÷ 3 = 22378) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67134 ÷ 6 = 11189) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67134 a prime number?
No. 67134 = 2 × 3 × 67 × 167, so it is divisible by 2.
What are the factors of 67134?
1, 2, 3, 6, 67, 134, 167, 201, 334, 402, 501, 1002, 11189, 22378, 33567, 67134.
What is 67134 in binary?
10000011000111110 (hexadecimal 1063E, octal 203076).
What is the square root of 67134?
About 259.1023.
Is 67134 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67134?
It is a composite number with 16 divisors.