The number 3008
3008 is a composite number with 14 divisors. Its prime factorisation is × 47. Divisors (14): 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3008 is composite. Its prime factorisation is
- 3
The divisors add up to 6096; without 3008 itself that is 3088, so 3008 is abundant (3088 is more than 3008). Euler's totient φ(3008) = 1472 numbers up to 3008 share no factor with it.
- 4
The digits of 3008 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3008 = 2^{6} \times 47 \]3008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 6096 |
| Euler totient φ(n) | 1472 |
| Square | 9048064 |
| Cube | 27216576512 |
| Square root | 54.845237 (= 8√47) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 110 |
| Scientific notation | 3.008 × |
3008 in other forms
| Form | Value |
|---|---|
| In words | three thousand and eight |
| Roman numerals | MMMVIII |
| Binary (base 2) | 101111000000 |
| Octal (base 8) | 5700 |
| Hexadecimal (base 16) | BC0 |
| Base 3 | 11010102 |
| As time | 3008 seconds = 50 min 8 s |
Is 3008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3008 ÷ 2 = 1504) | 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 (3008 ÷ 4 = 752) | 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 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 | Yes (3008 ÷ 8 = 376) | 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 5) | 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 3008 a prime number?
No. 3008 = × 47, so it is divisible by 2.
What are the factors of 3008?
1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008.
What is 3008 in binary?
101111000000 (hexadecimal BC0, octal 5700).
What is the square root of 3008?
About 54.8452, exactly 8√47.
What is 3008 in Roman numerals?
MMMVIII.
Is 3008 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3008?
It is a composite number with 14 divisors.