The number 14049
14049 is a composite number with 12 divisors. Its prime factorisation is × 7 × 223. Divisors (12): 1, 3, 7, 9, 21, 63, 223, 669, 1561, 2007, 4683, 14049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14049 is composite. Its prime factorisation is
- 3
The divisors add up to 23296; without 14049 itself that is 9247, so 14049 is deficient (9247 is less than 14049). Euler's totient φ(14049) = 7992 numbers up to 14049 share no factor with it.
- 4
The digits of 14049 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14049 = 3^{2} \times 7 \times 223 \]14049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23296 |
| Euler totient φ(n) | 7992 |
| Square | 197374401 |
| Cube | 2772912959649 |
| Square root | 118.528478 (= 3√1561) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.4049 × |
14049 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and forty-nine |
| Binary (base 2) | 11011011100001 |
| Octal (base 8) | 33341 |
| Hexadecimal (base 16) | 36E1 |
| Base 3 | 201021100 |
| As time | 14049 seconds = 3 h 54 min 9 s |
Is 14049 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14049 ÷ 3 = 4683) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14049 ÷ 7 = 2007) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14049 ÷ 9 = 1561) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14049 a prime number?
No. 14049 = × 7 × 223, so it is divisible by 3.
What are the factors of 14049?
1, 3, 7, 9, 21, 63, 223, 669, 1561, 2007, 4683, 14049.
What is 14049 in binary?
11011011100001 (hexadecimal 36E1, octal 33341).
What is the square root of 14049?
About 118.5285, exactly 3√1561.
Is 14049 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 14049?
It is a composite number with 12 divisors.