The number 14180
14180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 709. Divisors (12): 1, 2, 4, 5, 10, 20, 709, 1418, 2836, 3545, 7090, 14180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14180: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14180 is composite. Its prime factorisation is
- 3
The divisors add up to 29820; without 14180 itself that is 15640, so 14180 is abundant (15640 is more than 14180). Euler's totient φ(14180) = 5664 numbers up to 14180 share no factor with it.
- 4
The digits of 14180 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14180 = 2^{2} \times 5 \times 709 \]14180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29820 |
| Euler totient φ(n) | 5664 |
| Square | 201072400 |
| Cube | 2851206632000 |
| Square root | 119.079805 (= 2√3545) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.418 × |
14180 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and eighty |
| Binary (base 2) | 11011101100100 |
| Octal (base 8) | 33544 |
| Hexadecimal (base 16) | 3764 |
| Base 3 | 201110012 |
| As time | 14180 seconds = 3 h 56 min 20 s |
Is 14180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14180 ÷ 2 = 7090) | 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 (14180 ÷ 4 = 3545) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14180 ÷ 5 = 2836) | 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 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14180 ÷ 10 = 1418) | 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 14180 a prime number?
No. 14180 = × 5 × 709, so it is divisible by 2.
What are the factors of 14180?
1, 2, 4, 5, 10, 20, 709, 1418, 2836, 3545, 7090, 14180.
What is 14180 in binary?
11011101100100 (hexadecimal 3764, octal 33544).
What is the square root of 14180?
About 119.0798, exactly 2√3545.
Is 14180 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 14180?
14180 is a happy number: repeatedly adding the squares of its digits reaches 1.