The number 14080
14080 is a composite number with 36 divisors. Its prime factorisation is × 5 × 11. Divisors (36): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80 … 14080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14080 is composite. Its prime factorisation is
- 3
The divisors add up to 36792; without 14080 itself that is 22712, so 14080 is abundant (22712 is more than 14080). Euler's totient φ(14080) = 5120 numbers up to 14080 share no factor with it.
- 4
The digits of 14080 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14080 = 2^{8} \times 5 \times 11 \]14080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 36792 |
| Euler totient φ(n) | 5120 |
| Square | 198246400 |
| Cube | 2791309312000 |
| Square root | 118.659176 (= 16√55) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.408 × |
14080 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and eighty |
| Binary (base 2) | 11011100000000 |
| Octal (base 8) | 33400 |
| Hexadecimal (base 16) | 3700 |
| Base 3 | 201022111 |
| As time | 14080 seconds = 3 h 54 min 40 s |
Is 14080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14080 ÷ 2 = 7040) | 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 (14080 ÷ 4 = 3520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14080 ÷ 5 = 2816) | 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 3) | 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 (14080 ÷ 8 = 1760) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14080 ÷ 10 = 1408) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (14080 ÷ 11 = 1280) | 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 14080 a prime number?
No. 14080 = × 5 × 11, so it is divisible by 2.
What are the factors of 14080?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 256, 320, 352, 440, 640, 704, 880, 1280, 1408, 1760, 2816, 3520, 7040, 14080.
What is 14080 in binary?
11011100000000 (hexadecimal 3700, octal 33400).
What is the square root of 14080?
About 118.6592, exactly 16√55.
Is 14080 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 14080?
It is a composite number with 36 divisors.