The number 14048
14048 is a composite number with 12 divisors. Its prime factorisation is × 439. Divisors (12): 1, 2, 4, 8, 16, 32, 439, 878, 1756, 3512, 7024, 14048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14048: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14048 is composite. Its prime factorisation is
- 3
The divisors add up to 27720; without 14048 itself that is 13672, so 14048 is deficient (13672 is less than 14048). Euler's totient φ(14048) = 7008 numbers up to 14048 share no factor with it.
- 4
The digits of 14048 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14048 = 2^{5} \times 439 \]14048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27720 |
| Euler totient φ(n) | 7008 |
| Square | 197346304 |
| Cube | 2772320878592 |
| Square root | 118.524259 (= 4√878) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4048 × |
14048 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and forty-eight |
| Binary (base 2) | 11011011100000 |
| Octal (base 8) | 33340 |
| Hexadecimal (base 16) | 36E0 |
| Base 3 | 201021022 |
| As time | 14048 seconds = 3 h 54 min 8 s |
Is 14048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14048 ÷ 2 = 7024) | 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 (14048 ÷ 4 = 3512) | 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 6) | 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 (14048 ÷ 8 = 1756) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 14048 a prime number?
No. 14048 = × 439, so it is divisible by 2.
What are the factors of 14048?
1, 2, 4, 8, 16, 32, 439, 878, 1756, 3512, 7024, 14048.
What is 14048 in binary?
11011011100000 (hexadecimal 36E0, octal 33340).
What is the square root of 14048?
About 118.5243, exactly 4√878.
Is 14048 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 14048?
14048 is a happy number: repeatedly adding the squares of its digits reaches 1.