The number 16448
16448 is a composite number with 14 divisors. Its prime factorisation is × 257. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 257, 514, 1028, 2056, 4112, 8224, 16448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16448: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16448 is composite. Its prime factorisation is
- 3
The divisors add up to 32766; without 16448 itself that is 16318, so 16448 is deficient (16318 is less than 16448). Euler's totient φ(16448) = 8192 numbers up to 16448 share no factor with it.
- 4
The digits of 16448 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16448 = 2^{6} \times 257 \]16448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 32766 |
| Euler totient φ(n) | 8192 |
| Square | 270536704 |
| Cube | 4449787707392 |
| Square root | 128.249756 (= 8√257) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6448 × |
16448 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and forty-eight |
| Binary (base 2) | 100000001000000 |
| Octal (base 8) | 40100 |
| Hexadecimal (base 16) | 4040 |
| Base 3 | 211120012 |
| As time | 16448 seconds = 4 h 34 min 8 s |
Is 16448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16448 ÷ 2 = 8224) | 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 (16448 ÷ 4 = 4112) | 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 5) | 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 (16448 ÷ 8 = 2056) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 16448 a prime number?
No. 16448 = × 257, so it is divisible by 2.
What are the factors of 16448?
1, 2, 4, 8, 16, 32, 64, 257, 514, 1028, 2056, 4112, 8224, 16448.
What is 16448 in binary?
100000001000000 (hexadecimal 4040, octal 40100).
What is the square root of 16448?
About 128.2498, exactly 8√257.
Is 16448 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16448?
16448 is a happy number: repeatedly adding the squares of its digits reaches 1.