The number 48447
48447 is a composite number with 12 divisors. Its prime factorisation is × 7 × 769. Divisors (12): 1, 3, 7, 9, 21, 63, 769, 2307, 5383, 6921, 16149, 48447.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48447 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48447 is composite. Its prime factorisation is
- 3
The divisors add up to 80080; without 48447 itself that is 31633, so 48447 is deficient (31633 is less than 48447). Euler's totient φ(48447) = 27648 numbers up to 48447 share no factor with it.
- 4
The digits of 48447 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48447 = 3^{2} \times 7 \times 769 \]48447 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80080 |
| Euler totient φ(n) | 27648 |
| Square | 2347111809 |
| Cube | 113710525810623 |
| Square root | 220.106792 (= 3√5383) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.8447 × |
48447 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and forty-seven |
| Binary (base 2) | 1011110100111111 |
| Octal (base 8) | 136477 |
| Hexadecimal (base 16) | BD3F |
| Base 3 | 2110110100 |
| As time | 48447 seconds = 13 h 27 min 27 s |
Is 48447 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48447 ÷ 3 = 16149) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48447 ÷ 7 = 6921) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48447 ÷ 9 = 5383) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48447 a prime number?
No. 48447 = × 7 × 769, so it is divisible by 3.
What are the factors of 48447?
1, 3, 7, 9, 21, 63, 769, 2307, 5383, 6921, 16149, 48447.
What is 48447 in binary?
1011110100111111 (hexadecimal BD3F, octal 136477).
What is the square root of 48447?
About 220.1068, exactly 3√5383.
Is 48447 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48447?
It is a composite number with 12 divisors.