The number 9003
9003 is a composite number with 4 divisors. Its prime factorisation is 3 × 3001. Divisors (4): 1, 3, 3001, 9003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9003: a semiprime: 3 × 3001, the product of two primes.
- 2
9003 is composite. Its prime factorisation is
- 3
The divisors add up to 12008; without 9003 itself that is 3005, so 9003 is deficient (3005 is less than 9003). Euler's totient φ(9003) = 6000 numbers up to 9003 share no factor with it.
- 4
The digits of 9003 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9003 = 3 \times 3001 \]
9003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12008 |
| Euler totient φ(n) | 6000 |
| Square | 81054009 |
| Cube | 729729243027 |
| Square root | 94.884140 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 9.003 × |
9003 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and three |
| Binary (base 2) | 10001100101011 |
| Octal (base 8) | 21453 |
| Hexadecimal (base 16) | 232B |
| Base 3 | 110100110 |
| As time | 9003 seconds = 2 h 30 min 3 s |
Is 9003 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 (9003 ÷ 3 = 3001) | 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 3) | 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 1) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 9003 a prime number?
No. 9003 = 3 × 3001, so it is divisible by 3.
What are the factors of 9003?
1, 3, 3001, 9003.
What is 9003 in binary?
10001100101011 (hexadecimal 232B, octal 21453).
What is the square root of 9003?
About 94.8841.
Is 9003 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 9003?
9003 is a semiprime: 3 × 3001, the product of two primes.