The number 14025
14025 is a composite number with 24 divisors. Its prime factorisation is 3 × × 11 × 17. Divisors (24): 1, 3, 5, 11, 15, 17, 25, 33, 51, 55, 75, 85, 165, 187, 255, 275 … 14025.
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How to work it out
- 1
14025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14025 is composite. Its prime factorisation is
- 3
The divisors add up to 26784; without 14025 itself that is 12759, so 14025 is deficient (12759 is less than 14025). Euler's totient φ(14025) = 6400 numbers up to 14025 share no factor with it.
- 4
The digits of 14025 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14025 = 3 \times 5^{2} \times 11 \times 17 \]14025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 26784 |
| Euler totient φ(n) | 6400 |
| Square | 196700625 |
| Cube | 2758726265625 |
| Square root | 118.427193 (= 5√561) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.4025 × |
14025 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and twenty-five |
| Binary (base 2) | 11011011001001 |
| Octal (base 8) | 33311 |
| Hexadecimal (base 16) | 36C9 |
| Base 3 | 201020110 |
| As time | 14025 seconds = 3 h 53 min 45 s |
Is 14025 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14025 ÷ 3 = 4675) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14025 ÷ 5 = 2805) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (14025 ÷ 11 = 1275) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14025 a prime number?
No. 14025 = 3 × × 11 × 17, so it is divisible by 3.
What are the factors of 14025?
1, 3, 5, 11, 15, 17, 25, 33, 51, 55, 75, 85, 165, 187, 255, 275, 425, 561, 825, 935, 1275, 2805, 4675, 14025.
What is 14025 in binary?
11011011001001 (hexadecimal 36C9, octal 33311).
What is the square root of 14025?
About 118.4272, exactly 5√561.
Is 14025 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 14025?
It is a composite number with 24 divisors.