The number 14848
14848 is a composite number with 20 divisors. Its prime factorisation is × 29. Divisors (20): 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 512, 928 … 14848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14848 is composite. Its prime factorisation is
- 3
The divisors add up to 30690; without 14848 itself that is 15842, so 14848 is abundant (15842 is more than 14848). Euler's totient φ(14848) = 7168 numbers up to 14848 share no factor with it.
- 4
The digits of 14848 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14848 = 2^{9} \times 29 \]14848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 30690 |
| Euler totient φ(n) | 7168 |
| Square | 220463104 |
| Cube | 3273436168192 |
| Square root | 121.852370 (= 16√58) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.4848 × |
14848 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand eight hundred and forty-eight |
| Binary (base 2) | 11101000000000 |
| Octal (base 8) | 35000 |
| Hexadecimal (base 16) | 3A00 |
| Base 3 | 202100221 |
| As time | 14848 seconds = 4 h 7 min 28 s |
Is 14848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14848 ÷ 2 = 7424) | 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 (14848 ÷ 4 = 3712) | 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 (14848 ÷ 8 = 1856) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 14848 a prime number?
No. 14848 = × 29, so it is divisible by 2.
What are the factors of 14848?
1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 512, 928, 1856, 3712, 7424, 14848.
What is 14848 in binary?
11101000000000 (hexadecimal 3A00, octal 35000).
What is the square root of 14848?
About 121.8524, exactly 16√58.
Is 14848 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 14848?
It is a composite number with 20 divisors.