The number 67808
67808 is a composite number with 24 divisors. Its prime factorisation is × 13 × 163. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 163, 208, 326, 416, 652, 1304 … 67808.
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How to work it out
- 1
67808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67808 is composite. Its prime factorisation is
- 3
The divisors add up to 144648; without 67808 itself that is 76840, so 67808 is abundant (76840 is more than 67808). Euler's totient φ(67808) = 31104 numbers up to 67808 share no factor with it.
- 4
The digits of 67808 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67808 = 2^{5} \times 13 \times 163 \]67808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 144648 |
| Euler totient φ(n) | 31104 |
| Square | 4597924864 |
| Cube | 311776089178112 |
| Square root | 260.399693 (= 4√4238) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7808 × |
67808 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and eight |
| Binary (base 2) | 10000100011100000 |
| Octal (base 8) | 204340 |
| Hexadecimal (base 16) | 108E0 |
| Base 3 | 10110000102 |
| As time | 67808 seconds = 18 h 50 min 8 s |
Is 67808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67808 ÷ 2 = 33904) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67808 ÷ 4 = 16952) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (67808 ÷ 8 = 8476) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67808 a prime number?
No. 67808 = × 13 × 163, so it is divisible by 2.
What are the factors of 67808?
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 163, 208, 326, 416, 652, 1304, 2119, 2608, 4238, 5216, 8476, 16952, 33904, 67808.
What is 67808 in binary?
10000100011100000 (hexadecimal 108E0, octal 204340).
What is the square root of 67808?
About 260.3997, exactly 4√4238.
Is 67808 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67808?
It is a composite number with 24 divisors.