The number 48008
48008 is a composite number with 16 divisors. Its prime factorisation is × 17 × 353. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 353, 706, 1412, 2824, 6001, 12002, 24004, 48008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48008 is composite. Its prime factorisation is
- 3
The divisors add up to 95580; without 48008 itself that is 47572, so 48008 is deficient (47572 is less than 48008). Euler's totient φ(48008) = 22528 numbers up to 48008 share no factor with it.
- 4
The digits of 48008 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48008 = 2^{3} \times 17 \times 353 \]48008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95580 |
| Euler totient φ(n) | 22528 |
| Square | 2304768064 |
| Cube | 110647305216512 |
| Square root | 219.107280 (= 2√12002) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.8008 × |
48008 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and eight |
| Binary (base 2) | 1011101110001000 |
| Octal (base 8) | 135610 |
| Hexadecimal (base 16) | BB88 |
| Base 3 | 2102212002 |
| As time | 48008 seconds = 13 h 20 min 8 s |
Is 48008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48008 ÷ 2 = 24004) | 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 (48008 ÷ 4 = 12002) | 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 (48008 ÷ 8 = 6001) | 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 48008 a prime number?
No. 48008 = × 17 × 353, so it is divisible by 2.
What are the factors of 48008?
1, 2, 4, 8, 17, 34, 68, 136, 353, 706, 1412, 2824, 6001, 12002, 24004, 48008.
What is 48008 in binary?
1011101110001000 (hexadecimal BB88, octal 135610).
What is the square root of 48008?
About 219.1073, exactly 2√12002.
Is 48008 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48008?
It is a composite number with 16 divisors.