The number 9004
9004 is a composite number with 6 divisors. Its prime factorisation is × 2251. Divisors (6): 1, 2, 4, 2251, 4502, 9004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9004: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9004 is composite. Its prime factorisation is
- 3
The divisors add up to 15764; without 9004 itself that is 6760, so 9004 is deficient (6760 is less than 9004). Euler's totient φ(9004) = 4500 numbers up to 9004 share no factor with it.
- 4
The digits of 9004 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9004 = 2^{2} \times 2251 \]9004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 15764 |
| Euler totient φ(n) | 4500 |
| Square | 81072016 |
| Cube | 729972432064 |
| Square root | 94.889409 (= 2√2251) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 9.004 × |
9004 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and four |
| Binary (base 2) | 10001100101100 |
| Octal (base 8) | 21454 |
| Hexadecimal (base 16) | 232C |
| Base 3 | 110100111 |
| As time | 9004 seconds = 2 h 30 min 4 s |
Is 9004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9004 ÷ 2 = 4502) | 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 | Yes (9004 ÷ 4 = 2251) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9004 a prime number?
No. 9004 = × 2251, so it is divisible by 2.
What are the factors of 9004?
1, 2, 4, 2251, 4502, 9004.
What is 9004 in binary?
10001100101100 (hexadecimal 232C, octal 21454).
What is the square root of 9004?
About 94.8894, exactly 2√2251.
Is 9004 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 9004?
9004 is a happy number: repeatedly adding the squares of its digits reaches 1.