The number 14020
14020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 701. Divisors (12): 1, 2, 4, 5, 10, 20, 701, 1402, 2804, 3505, 7010, 14020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14020 is composite. Its prime factorisation is
- 3
The divisors add up to 29484; without 14020 itself that is 15464, so 14020 is abundant (15464 is more than 14020). Euler's totient φ(14020) = 5600 numbers up to 14020 share no factor with it.
- 4
The digits of 14020 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14020 = 2^{2} \times 5 \times 701 \]14020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29484 |
| Euler totient φ(n) | 5600 |
| Square | 196560400 |
| Cube | 2755776808000 |
| Square root | 118.406081 (= 2√3505) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.402 × |
14020 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and twenty |
| Binary (base 2) | 11011011000100 |
| Octal (base 8) | 33304 |
| Hexadecimal (base 16) | 36C4 |
| Base 3 | 201020021 |
| As time | 14020 seconds = 3 h 53 min 40 s |
Is 14020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14020 ÷ 2 = 7010) | 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 (14020 ÷ 4 = 3505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14020 ÷ 5 = 2804) | 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 6) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14020 ÷ 10 = 1402) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 14020 a prime number?
No. 14020 = × 5 × 701, so it is divisible by 2.
What are the factors of 14020?
1, 2, 4, 5, 10, 20, 701, 1402, 2804, 3505, 7010, 14020.
What is 14020 in binary?
11011011000100 (hexadecimal 36C4, octal 33304).
What is the square root of 14020?
About 118.4061, exactly 2√3505.
Is 14020 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 14020?
It is a composite number with 12 divisors.