The number 14084
14084 is a composite number with 12 divisors. Its prime factorisation is × 7 × 503. Divisors (12): 1, 2, 4, 7, 14, 28, 503, 1006, 2012, 3521, 7042, 14084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14084: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14084 is composite. Its prime factorisation is
- 3
The divisors add up to 28224; without 14084 itself that is 14140, so 14084 is abundant (14140 is more than 14084). Euler's totient φ(14084) = 6024 numbers up to 14084 share no factor with it.
- 4
The digits of 14084 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14084 = 2^{2} \times 7 \times 503 \]14084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 28224 |
| Euler totient φ(n) | 6024 |
| Square | 198359056 |
| Cube | 2793688944704 |
| Square root | 118.676030 (= 2√3521) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.4084 × |
14084 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and eighty-four |
| Binary (base 2) | 11011100000100 |
| Octal (base 8) | 33404 |
| Hexadecimal (base 16) | 3704 |
| Base 3 | 201022122 |
| As time | 14084 seconds = 3 h 54 min 44 s |
Is 14084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14084 ÷ 2 = 7042) | 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 (14084 ÷ 4 = 3521) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14084 ÷ 7 = 2012) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 14084 a prime number?
No. 14084 = × 7 × 503, so it is divisible by 2.
What are the factors of 14084?
1, 2, 4, 7, 14, 28, 503, 1006, 2012, 3521, 7042, 14084.
What is 14084 in binary?
11011100000100 (hexadecimal 3704, octal 33404).
What is the square root of 14084?
About 118.6760, exactly 2√3521.
Is 14084 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 14084?
14084 is a happy number: repeatedly adding the squares of its digits reaches 1.