The number 67804
67804 is a composite number with 24 divisors. Its prime factorisation is × 11 × 23 × 67. Divisors (24): 1, 2, 4, 11, 22, 23, 44, 46, 67, 92, 134, 253, 268, 506, 737, 1012 … 67804.
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How to work it out
- 1
67804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67804 is composite. Its prime factorisation is
- 3
The divisors add up to 137088; without 67804 itself that is 69284, so 67804 is abundant (69284 is more than 67804). Euler's totient φ(67804) = 29040 numbers up to 67804 share no factor with it.
- 4
The digits of 67804 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67804 = 2^{2} \times 11 \times 23 \times 67 \]67804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 137088 |
| Euler totient φ(n) | 29040 |
| Square | 4597382416 |
| Cube | 311720917334464 |
| Square root | 260.392012 (= 2√16951) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7804 × |
67804 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and four |
| Binary (base 2) | 10000100011011100 |
| Octal (base 8) | 204334 |
| Hexadecimal (base 16) | 108DC |
| Base 3 | 10110000021 |
| As time | 67804 seconds = 18 h 50 min 4 s |
Is 67804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67804 ÷ 2 = 33902) | 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 (67804 ÷ 4 = 16951) | 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 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 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 | Yes (67804 ÷ 11 = 6164) | 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 67804 a prime number?
No. 67804 = × 11 × 23 × 67, so it is divisible by 2.
What are the factors of 67804?
1, 2, 4, 11, 22, 23, 44, 46, 67, 92, 134, 253, 268, 506, 737, 1012, 1474, 1541, 2948, 3082, 6164, 16951, 33902, 67804.
What is 67804 in binary?
10000100011011100 (hexadecimal 108DC, octal 204334).
What is the square root of 67804?
About 260.3920, exactly 2√16951.
Is 67804 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67804?
It is a composite number with 24 divisors.