The number 67684
67684 is a composite number with 6 divisors. Its prime factorisation is × 16921. Divisors (6): 1, 2, 4, 16921, 33842, 67684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67684 is composite. Its prime factorisation is
- 3
The divisors add up to 118454; without 67684 itself that is 50770, so 67684 is deficient (50770 is less than 67684). Euler's totient φ(67684) = 33840 numbers up to 67684 share no factor with it.
- 4
The digits of 67684 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67684 = 2^{2} \times 16921 \]67684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 118454 |
| Euler totient φ(n) | 33840 |
| Square | 4581123856 |
| Cube | 310068787069504 |
| Square root | 260.161488 (= 2√16921) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7684 × |
67684 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and eighty-four |
| Binary (base 2) | 10000100001100100 |
| Octal (base 8) | 204144 |
| Hexadecimal (base 16) | 10864 |
| Base 3 | 10102211211 |
| As time | 67684 seconds = 18 h 48 min 4 s |
Is 67684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67684 ÷ 2 = 33842) | 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 (67684 ÷ 4 = 16921) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67684 a prime number?
No. 67684 = × 16921, so it is divisible by 2.
What are the factors of 67684?
1, 2, 4, 16921, 33842, 67684.
What is 67684 in binary?
10000100001100100 (hexadecimal 10864, octal 204144).
What is the square root of 67684?
About 260.1615, exactly 2√16921.
Is 67684 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67684?
It is a composite number with 6 divisors.