The number 47448
47448 is a composite number with 24 divisors. Its prime factorisation is × × 659. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 659, 1318, 1977, 2636 … 47448.
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How to work it out
- 1
47448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47448 is composite. Its prime factorisation is
- 3
The divisors add up to 128700; without 47448 itself that is 81252, so 47448 is abundant (81252 is more than 47448). Euler's totient φ(47448) = 15792 numbers up to 47448 share no factor with it.
- 4
The digits of 47448 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47448 = 2^{3} \times 3^{2} \times 659 \]47448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 128700 |
| Euler totient φ(n) | 15792 |
| Square | 2251312704 |
| Cube | 106820285179392 |
| Square root | 217.825618 (= 6√1318) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.7448 × |
47448 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and forty-eight |
| Binary (base 2) | 1011100101011000 |
| Octal (base 8) | 134530 |
| Hexadecimal (base 16) | B958 |
| Base 3 | 2102002100 |
| As time | 47448 seconds = 13 h 10 min 48 s |
Is 47448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47448 ÷ 2 = 23724) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47448 ÷ 3 = 15816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47448 ÷ 4 = 11862) | 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 | Yes (47448 ÷ 6 = 7908) | 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 (47448 ÷ 8 = 5931) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47448 ÷ 9 = 5272) | 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 | Yes (47448 ÷ 12 = 3954) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47448 a prime number?
No. 47448 = × × 659, so it is divisible by 2.
What are the factors of 47448?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 659, 1318, 1977, 2636, 3954, 5272, 5931, 7908, 11862, 15816, 23724, 47448.
What is 47448 in binary?
1011100101011000 (hexadecimal B958, octal 134530).
What is the square root of 47448?
About 217.8256, exactly 6√1318.
Is 47448 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47448?
It is a composite number with 24 divisors.