The number 47648
47648 is a composite number with 12 divisors. Its prime factorisation is × 1489. Divisors (12): 1, 2, 4, 8, 16, 32, 1489, 2978, 5956, 11912, 23824, 47648.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47648 is composite. Its prime factorisation is
- 3
The divisors add up to 93870; without 47648 itself that is 46222, so 47648 is deficient (46222 is less than 47648). Euler's totient φ(47648) = 23808 numbers up to 47648 share no factor with it.
- 4
The digits of 47648 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47648 = 2^{5} \times 1489 \]47648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93870 |
| Euler totient φ(n) | 23808 |
| Square | 2270331904 |
| Cube | 108176774561792 |
| Square root | 218.284218 (= 4√2978) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7648 × |
47648 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and forty-eight |
| Binary (base 2) | 1011101000100000 |
| Octal (base 8) | 135040 |
| Hexadecimal (base 16) | BA20 |
| Base 3 | 2102100202 |
| As time | 47648 seconds = 13 h 14 min 8 s |
Is 47648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47648 ÷ 2 = 23824) | 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 (47648 ÷ 4 = 11912) | 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 (47648 ÷ 8 = 5956) | 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 7) | 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 47648 a prime number?
No. 47648 = × 1489, so it is divisible by 2.
What are the factors of 47648?
1, 2, 4, 8, 16, 32, 1489, 2978, 5956, 11912, 23824, 47648.
What is 47648 in binary?
1011101000100000 (hexadecimal BA20, octal 135040).
What is the square root of 47648?
About 218.2842, exactly 4√2978.
Is 47648 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 47648?
It is a composite number with 12 divisors.