The number 8448
8448 is a palindrome: it reads 8448 backwards too. Its prime factorisation is × 3 × 11. Divisors (36): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64 … 8448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8448: a palindrome: it reads 8448 backwards too; a Harshad number: divisible by its digit sum 24.
- 2
8448 is composite. Its prime factorisation is
- 3
The divisors add up to 24528; without 8448 itself that is 16080, so 8448 is abundant (16080 is more than 8448). Euler's totient φ(8448) = 2560 numbers up to 8448 share no factor with it.
- 4
The digits of 8448 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8448 = 2^{8} \times 3 \times 11 \]8448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 24528 |
| Euler totient φ(n) | 2560 |
| Square | 71368704 |
| Cube | 602922811392 |
| Square root | 91.913002 (= 16√33) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.448 × |
8448 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and forty-eight |
| Binary (base 2) | 10000100000000 |
| Octal (base 8) | 20400 |
| Hexadecimal (base 16) | 2100 |
| Base 3 | 102120220 |
| As time | 8448 seconds = 2 h 20 min 48 s |
Is 8448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8448 ÷ 2 = 4224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8448 ÷ 3 = 2816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8448 ÷ 4 = 2112) | 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 (8448 ÷ 6 = 1408) | 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 (8448 ÷ 8 = 1056) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (8448 ÷ 11 = 768) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8448 ÷ 12 = 704) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8448 a prime number?
No. 8448 = × 3 × 11, so it is divisible by 2.
What are the factors of 8448?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448.
What is 8448 in binary?
10000100000000 (hexadecimal 2100, octal 20400).
What is the square root of 8448?
About 91.9130, exactly 16√33.
Is 8448 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8448?
8448 is a palindrome: it reads 8448 backwards too; a Harshad number: divisible by its digit sum 24.