The number 67084
67084 is a composite number with 12 divisors. Its prime factorisation is × 31 × 541. Divisors (12): 1, 2, 4, 31, 62, 124, 541, 1082, 2164, 16771, 33542, 67084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67084 is composite. Its prime factorisation is
- 3
The divisors add up to 121408; without 67084 itself that is 54324, so 67084 is deficient (54324 is less than 67084). Euler's totient φ(67084) = 32400 numbers up to 67084 share no factor with it.
- 4
The digits of 67084 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67084 = 2^{2} \times 31 \times 541 \]67084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 121408 |
| Euler totient φ(n) | 32400 |
| Square | 4500263056 |
| Cube | 301895646848704 |
| Square root | 259.005791 (= 2√16771) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7084 × |
67084 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and eighty-four |
| Binary (base 2) | 10000011000001100 |
| Octal (base 8) | 203014 |
| Hexadecimal (base 16) | 1060C |
| Base 3 | 10102000121 |
| As time | 67084 seconds = 18 h 38 min 4 s |
Is 67084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67084 ÷ 2 = 33542) | 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 | Yes (67084 ÷ 4 = 16771) | 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 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67084 a prime number?
No. 67084 = × 31 × 541, so it is divisible by 2.
What are the factors of 67084?
1, 2, 4, 31, 62, 124, 541, 1082, 2164, 16771, 33542, 67084.
What is 67084 in binary?
10000011000001100 (hexadecimal 1060C, octal 203014).
What is the square root of 67084?
About 259.0058, exactly 2√16771.
Is 67084 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67084?
It is a composite number with 12 divisors.