The number 4448
4448 is a composite number with 12 divisors. Its prime factorisation is × 139. Divisors (12): 1, 2, 4, 8, 16, 32, 139, 278, 556, 1112, 2224, 4448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4448 is composite. Its prime factorisation is
- 3
The divisors add up to 8820; without 4448 itself that is 4372, so 4448 is deficient (4372 is less than 4448). Euler's totient φ(4448) = 2208 numbers up to 4448 share no factor with it.
- 4
The digits of 4448 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4448 = 2^{5} \times 139 \]4448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8820 |
| Euler totient φ(n) | 2208 |
| Square | 19784704 |
| Cube | 88002363392 |
| Square root | 66.693328 (= 4√278) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.448 × |
4448 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and forty-eight |
| Binary (base 2) | 1000101100000 |
| Octal (base 8) | 10540 |
| Hexadecimal (base 16) | 1160 |
| Base 3 | 20002202 |
| As time | 4448 seconds = 1 h 14 min 8 s |
Is 4448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4448 ÷ 2 = 2224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4448 ÷ 4 = 1112) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (4448 ÷ 8 = 556) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4448 a prime number?
No. 4448 = × 139, so it is divisible by 2.
What are the factors of 4448?
1, 2, 4, 8, 16, 32, 139, 278, 556, 1112, 2224, 4448.
What is 4448 in binary?
1000101100000 (hexadecimal 1160, octal 10540).
What is the square root of 4448?
About 66.6933, exactly 4√278.
Is 4448 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4448?
It is a composite number with 12 divisors.