The number 14088
14088 is a composite number with 16 divisors. Its prime factorisation is × 3 × 587. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 587, 1174, 1761, 2348, 3522, 4696, 7044, 14088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14088 is composite. Its prime factorisation is
- 3
The divisors add up to 35280; without 14088 itself that is 21192, so 14088 is abundant (21192 is more than 14088). Euler's totient φ(14088) = 4688 numbers up to 14088 share no factor with it.
- 4
The digits of 14088 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14088 = 2^{3} \times 3 \times 587 \]14088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 35280 |
| Euler totient φ(n) | 4688 |
| Square | 198471744 |
| Cube | 2796069929472 |
| Square root | 118.692881 (= 2√3522) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.4088 × |
14088 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and eighty-eight |
| Binary (base 2) | 11011100001000 |
| Octal (base 8) | 33410 |
| Hexadecimal (base 16) | 3708 |
| Base 3 | 201022210 |
| As time | 14088 seconds = 3 h 54 min 48 s |
Is 14088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14088 ÷ 2 = 7044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14088 ÷ 3 = 4696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14088 ÷ 4 = 3522) | 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 (14088 ÷ 6 = 2348) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (14088 ÷ 8 = 1761) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14088 ÷ 12 = 1174) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14088 a prime number?
No. 14088 = × 3 × 587, so it is divisible by 2.
What are the factors of 14088?
1, 2, 3, 4, 6, 8, 12, 24, 587, 1174, 1761, 2348, 3522, 4696, 7044, 14088.
What is 14088 in binary?
11011100001000 (hexadecimal 3708, octal 33410).
What is the square root of 14088?
About 118.6929, exactly 2√3522.
Is 14088 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 14088?
It is a composite number with 16 divisors.