The number 9005
9005 is a composite number with 4 divisors. Its prime factorisation is 5 × 1801. Divisors (4): 1, 5, 1801, 9005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9005: a semiprime: 5 × 1801, the product of two primes.
- 2
9005 is composite. Its prime factorisation is
- 3
The divisors add up to 10812; without 9005 itself that is 1807, so 9005 is deficient (1807 is less than 9005). Euler's totient φ(9005) = 7200 numbers up to 9005 share no factor with it.
- 4
The digits of 9005 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9005 = 5 \times 1801 \]
9005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10812 |
| Euler totient φ(n) | 7200 |
| Square | 81090025 |
| Cube | 730215675125 |
| Square root | 94.894678 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 9.005 × |
9005 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and five |
| Binary (base 2) | 10001100101101 |
| Octal (base 8) | 21455 |
| Hexadecimal (base 16) | 232D |
| Base 3 | 110100112 |
| As time | 9005 seconds = 2 h 30 min 5 s |
Is 9005 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 | No (remainder 2) | 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 (9005 ÷ 5 = 1801) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 | No (remainder 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9005 a prime number?
No. 9005 = 5 × 1801, so it is divisible by 5.
What are the factors of 9005?
1, 5, 1801, 9005.
What is 9005 in binary?
10001100101101 (hexadecimal 232D, octal 21455).
What is the square root of 9005?
About 94.8947.
Is 9005 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 9005?
9005 is a semiprime: 5 × 1801, the product of two primes.