The number 14448
14448 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 43. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 43, 48 … 14448.
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How to work it out
- 1
What is special about 14448: a Harshad number: divisible by its digit sum 21.
- 2
14448 is composite. Its prime factorisation is
- 3
The divisors add up to 43648; without 14448 itself that is 29200, so 14448 is abundant (29200 is more than 14448). Euler's totient φ(14448) = 4032 numbers up to 14448 share no factor with it.
- 4
The digits of 14448 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14448 = 2^{4} \times 3 \times 7 \times 43 \]14448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 43648 |
| Euler totient φ(n) | 4032 |
| Square | 208744704 |
| Cube | 3015943483392 |
| Square root | 120.199834 (= 4√903) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.4448 × |
14448 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand four hundred and forty-eight |
| Binary (base 2) | 11100001110000 |
| Octal (base 8) | 34160 |
| Hexadecimal (base 16) | 3870 |
| Base 3 | 201211010 |
| As time | 14448 seconds = 4 h 0 min 48 s |
Is 14448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14448 ÷ 2 = 7224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14448 ÷ 3 = 4816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14448 ÷ 4 = 3612) | 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 (14448 ÷ 6 = 2408) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14448 ÷ 7 = 2064) | 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 (14448 ÷ 8 = 1806) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14448 ÷ 12 = 1204) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14448 a prime number?
No. 14448 = × 3 × 7 × 43, so it is divisible by 2.
What are the factors of 14448?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 43, 48, 56, 84, 86, 112, 129, 168, 172, 258, 301, 336, 344, 516, 602, 688, 903, 1032, 1204, 1806, 2064, 2408, 3612, 4816, 7224, 14448.
What is 14448 in binary?
11100001110000 (hexadecimal 3870, octal 34160).
What is the square root of 14448?
About 120.1998, exactly 4√903.
Is 14448 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 14448?
14448 is a Harshad number: divisible by its digit sum 21.