The number 68008
68008 is a composite number with 8 divisors. Its prime factorisation is × 8501. Divisors (8): 1, 2, 4, 8, 8501, 17002, 34004, 68008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
68008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
68008 is composite. Its prime factorisation is
- 3
The divisors add up to 127530; without 68008 itself that is 59522, so 68008 is deficient (59522 is less than 68008). Euler's totient φ(68008) = 34000 numbers up to 68008 share no factor with it.
- 4
The digits of 68008 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68008 = 2^{3} \times 8501 \]68008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 127530 |
| Euler totient φ(n) | 34000 |
| Square | 4625088064 |
| Cube | 314542989056512 |
| Square root | 260.783435 (= 2√17002) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.8008 × |
68008 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand and eight |
| Binary (base 2) | 10000100110101000 |
| Octal (base 8) | 204650 |
| Hexadecimal (base 16) | 109A8 |
| Base 3 | 10110021211 |
| As time | 68008 seconds = 18 h 53 min 28 s |
Is 68008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (68008 ÷ 2 = 34004) | 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 (68008 ÷ 4 = 17002) | 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 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 | Yes (68008 ÷ 8 = 8501) | 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 8) | 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 68008 a prime number?
No. 68008 = × 8501, so it is divisible by 2.
What are the factors of 68008?
1, 2, 4, 8, 8501, 17002, 34004, 68008.
What is 68008 in binary?
10000100110101000 (hexadecimal 109A8, octal 204650).
What is the square root of 68008?
About 260.7834, exactly 2√17002.
Is 68008 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 68008?
It is a composite number with 8 divisors.