The number 47248
47248 is a composite number with 10 divisors. Its prime factorisation is × 2953. Divisors (10): 1, 2, 4, 8, 16, 2953, 5906, 11812, 23624, 47248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47248 is composite. Its prime factorisation is
- 3
The divisors add up to 91574; without 47248 itself that is 44326, so 47248 is deficient (44326 is less than 47248). Euler's totient φ(47248) = 23616 numbers up to 47248 share no factor with it.
- 4
The digits of 47248 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47248 = 2^{4} \times 2953 \]47248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 91574 |
| Euler totient φ(n) | 23616 |
| Square | 2232373504 |
| Cube | 105475183316992 |
| Square root | 217.366051 (= 4√2953) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7248 × |
47248 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and forty-eight |
| Binary (base 2) | 1011100010010000 |
| Octal (base 8) | 134220 |
| Hexadecimal (base 16) | B890 |
| Base 3 | 2101210221 |
| As time | 47248 seconds = 13 h 7 min 28 s |
Is 47248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47248 ÷ 2 = 23624) | 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 (47248 ÷ 4 = 11812) | 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 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 (47248 ÷ 8 = 5906) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | 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 47248 a prime number?
No. 47248 = × 2953, so it is divisible by 2.
What are the factors of 47248?
1, 2, 4, 8, 16, 2953, 5906, 11812, 23624, 47248.
What is 47248 in binary?
1011100010010000 (hexadecimal B890, octal 134220).
What is the square root of 47248?
About 217.3661, exactly 4√2953.
Is 47248 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47248?
It is a composite number with 10 divisors.