The number 14000
14000 is a composite number with 40 divisors. Its prime factorisation is × × 7. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56 … 14000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14000: a Harshad number: divisible by its digit sum 5.
- 2
14000 is composite. Its prime factorisation is
- 3
The divisors add up to 38688; without 14000 itself that is 24688, so 14000 is abundant (24688 is more than 14000). Euler's totient φ(14000) = 4800 numbers up to 14000 share no factor with it.
- 4
The digits of 14000 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14000 = 2^{4} \times 5^{3} \times 7 \]14000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 38688 |
| Euler totient φ(n) | 4800 |
| Square | 196000000 |
| Cube | 2744000000000 |
| Square root | 118.321596 (= 20√35) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.4 × |
14000 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand |
| Binary (base 2) | 11011010110000 |
| Octal (base 8) | 33260 |
| Hexadecimal (base 16) | 36B0 |
| Base 3 | 201012112 |
| As time | 14000 seconds = 3 h 53 min 20 s |
Is 14000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14000 ÷ 2 = 7000) | 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 (14000 ÷ 4 = 3500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14000 ÷ 5 = 2800) | 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 (14000 ÷ 7 = 2000) | 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 (14000 ÷ 8 = 1750) | 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 (14000 ÷ 10 = 1400) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14000 a prime number?
No. 14000 = × × 7, so it is divisible by 2.
What are the factors of 14000?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 125, 140, 175, 200, 250, 280, 350, 400, 500, 560, 700, 875, 1000, 1400, 1750, 2000, 2800, 3500, 7000, 14000.
What is 14000 in binary?
11011010110000 (hexadecimal 36B0, octal 33260).
What is the square root of 14000?
About 118.3216, exactly 20√35.
Is 14000 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 14000?
14000 is a Harshad number: divisible by its digit sum 5.