The number 14014
14014 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 13. Divisors (24): 1, 2, 7, 11, 13, 14, 22, 26, 49, 77, 91, 98, 143, 154, 182, 286 … 14014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14014 is composite. Its prime factorisation is
- 3
The divisors add up to 28728; without 14014 itself that is 14714, so 14014 is abundant (14714 is more than 14014). Euler's totient φ(14014) = 5040 numbers up to 14014 share no factor with it.
- 4
The digits of 14014 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14014 = 2 \times 7^{2} \times 11 \times 13 \]14014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 28728 |
| Euler totient φ(n) | 5040 |
| Square | 196392196 |
| Cube | 2752240234744 |
| Square root | 118.380742 (= 7√286) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.4014 × |
14014 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and fourteen |
| Binary (base 2) | 11011010111110 |
| Octal (base 8) | 33276 |
| Hexadecimal (base 16) | 36BE |
| Base 3 | 201020001 |
| As time | 14014 seconds = 3 h 53 min 34 s |
Is 14014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14014 ÷ 2 = 7007) | 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 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14014 ÷ 7 = 2002) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (14014 ÷ 11 = 1274) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14014 a prime number?
No. 14014 = 2 × × 11 × 13, so it is divisible by 2.
What are the factors of 14014?
1, 2, 7, 11, 13, 14, 22, 26, 49, 77, 91, 98, 143, 154, 182, 286, 539, 637, 1001, 1078, 1274, 2002, 7007, 14014.
What is 14014 in binary?
11011010111110 (hexadecimal 36BE, octal 33276).
What is the square root of 14014?
About 118.3807, exactly 7√286.
Is 14014 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 14014?
It is a composite number with 24 divisors.