The number 6448
6448 is a composite number with 20 divisors. Its prime factorisation is × 13 × 31. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496 … 6448.
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How to work it out
- 1
6448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6448 is composite. Its prime factorisation is
- 3
The divisors add up to 13888; without 6448 itself that is 7440, so 6448 is abundant (7440 is more than 6448). Euler's totient φ(6448) = 2880 numbers up to 6448 share no factor with it.
- 4
The digits of 6448 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6448 = 2^{4} \times 13 \times 31 \]6448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 13888 |
| Euler totient φ(n) | 2880 |
| Square | 41576704 |
| Cube | 268086587392 |
| Square root | 80.299440 (= 4√403) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 23 |
| Scientific notation | 6.448 × |
6448 in other forms
| Form | Value |
|---|---|
| In words | six thousand four hundred and forty-eight |
| Binary (base 2) | 1100100110000 |
| Octal (base 8) | 14460 |
| Hexadecimal (base 16) | 1930 |
| Base 3 | 22211211 |
| As time | 6448 seconds = 1 h 47 min 28 s |
Is 6448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6448 ÷ 2 = 3224) | 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 (6448 ÷ 4 = 1612) | 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 1) | 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 (6448 ÷ 8 = 806) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | 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 6448 a prime number?
No. 6448 = × 13 × 31, so it is divisible by 2.
What are the factors of 6448?
1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496, 806, 1612, 3224, 6448.
What is 6448 in binary?
1100100110000 (hexadecimal 1930, octal 14460).
What is the square root of 6448?
About 80.2994, exactly 4√403.
Is 6448 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6448?
It is a composite number with 20 divisors.