The number 6008
6008 is a composite number with 8 divisors. Its prime factorisation is × 751. Divisors (8): 1, 2, 4, 8, 751, 1502, 3004, 6008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6008: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6008 is composite. Its prime factorisation is
- 3
The divisors add up to 11280; without 6008 itself that is 5272, so 6008 is deficient (5272 is less than 6008). Euler's totient φ(6008) = 3000 numbers up to 6008 share no factor with it.
- 4
The digits of 6008 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6008 = 2^{3} \times 751 \]6008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11280 |
| Euler totient φ(n) | 3000 |
| Square | 36096064 |
| Cube | 216865152512 |
| Square root | 77.511290 (= 2√1502) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 142 |
| Scientific notation | 6.008 × |
6008 in other forms
| Form | Value |
|---|---|
| In words | six thousand and eight |
| Binary (base 2) | 1011101111000 |
| Octal (base 8) | 13570 |
| Hexadecimal (base 16) | 1778 |
| Base 3 | 22020112 |
| As time | 6008 seconds = 1 h 40 min 8 s |
Is 6008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6008 ÷ 2 = 3004) | 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 (6008 ÷ 4 = 1502) | 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 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 | Yes (6008 ÷ 8 = 751) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | 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 6008 a prime number?
No. 6008 = × 751, so it is divisible by 2.
What are the factors of 6008?
1, 2, 4, 8, 751, 1502, 3004, 6008.
What is 6008 in binary?
1011101111000 (hexadecimal 1778, octal 13570).
What is the square root of 6008?
About 77.5113, exactly 2√1502.
Is 6008 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 6008?
6008 is a happy number: repeatedly adding the squares of its digits reaches 1.