The number 9027
9027 is a composite number with 12 divisors. Its prime factorisation is × 17 × 59. Divisors (12): 1, 3, 9, 17, 51, 59, 153, 177, 531, 1003, 3009, 9027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9027 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9027 is composite. Its prime factorisation is
- 3
The divisors add up to 14040; without 9027 itself that is 5013, so 9027 is deficient (5013 is less than 9027). Euler's totient φ(9027) = 5568 numbers up to 9027 share no factor with it.
- 4
The digits of 9027 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9027 = 3^{2} \times 17 \times 59 \]9027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14040 |
| Euler totient φ(n) | 5568 |
| Square | 81486729 |
| Cube | 735580702683 |
| Square root | 95.010526 (= 3√1003) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 9.027 × |
9027 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and twenty-seven |
| Binary (base 2) | 10001101000011 |
| Octal (base 8) | 21503 |
| Hexadecimal (base 16) | 2343 |
| Base 3 | 110101100 |
| As time | 9027 seconds = 2 h 30 min 27 s |
Is 9027 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 (9027 ÷ 3 = 3009) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9027 ÷ 9 = 1003) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9027 a prime number?
No. 9027 = × 17 × 59, so it is divisible by 3.
What are the factors of 9027?
1, 3, 9, 17, 51, 59, 153, 177, 531, 1003, 3009, 9027.
What is 9027 in binary?
10001101000011 (hexadecimal 2343, octal 21503).
What is the square root of 9027?
About 95.0105, exactly 3√1003.
Is 9027 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9027?
It is a composite number with 12 divisors.