The number 67884
67884 is a composite number with 12 divisors. Its prime factorisation is × 3 × 5657. Divisors (12): 1, 2, 3, 4, 6, 12, 5657, 11314, 16971, 22628, 33942, 67884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67884 is composite. Its prime factorisation is
- 3
The divisors add up to 158424; without 67884 itself that is 90540, so 67884 is abundant (90540 is more than 67884). Euler's totient φ(67884) = 22624 numbers up to 67884 share no factor with it.
- 4
The digits of 67884 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67884 = 2^{2} \times 3 \times 5657 \]67884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 158424 |
| Euler totient φ(n) | 22624 |
| Square | 4608237456 |
| Cube | 312825591463104 |
| Square root | 260.545581 (= 2√16971) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7884 × |
67884 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and eighty-four |
| Binary (base 2) | 10000100100101100 |
| Octal (base 8) | 204454 |
| Hexadecimal (base 16) | 1092C |
| Base 3 | 10110010020 |
| As time | 67884 seconds = 18 h 51 min 24 s |
Is 67884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67884 ÷ 2 = 33942) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67884 ÷ 3 = 22628) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67884 ÷ 4 = 16971) | 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 (67884 ÷ 6 = 11314) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67884 ÷ 12 = 5657) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67884 a prime number?
No. 67884 = × 3 × 5657, so it is divisible by 2.
What are the factors of 67884?
1, 2, 3, 4, 6, 12, 5657, 11314, 16971, 22628, 33942, 67884.
What is 67884 in binary?
10000100100101100 (hexadecimal 1092C, octal 204454).
What is the square root of 67884?
About 260.5456, exactly 2√16971.
Is 67884 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67884?
It is a composite number with 12 divisors.