The number 9002
9002 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 643. Divisors (8): 1, 2, 7, 14, 643, 1286, 4501, 9002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9002 is composite. Its prime factorisation is
- 3
The divisors add up to 15456; without 9002 itself that is 6454, so 9002 is deficient (6454 is less than 9002). Euler's totient φ(9002) = 3852 numbers up to 9002 share no factor with it.
- 4
The digits of 9002 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9002 = 2 \times 7 \times 643 \]
9002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15456 |
| Euler totient φ(n) | 3852 |
| Square | 81036004 |
| Cube | 729486108008 |
| Square root | 94.878870 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.002 × |
9002 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and two |
| Binary (base 2) | 10001100101010 |
| Octal (base 8) | 21452 |
| Hexadecimal (base 16) | 232A |
| Base 3 | 110100102 |
| As time | 9002 seconds = 2 h 30 min 2 s |
Is 9002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9002 ÷ 2 = 4501) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9002 ÷ 7 = 1286) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9002 a prime number?
No. 9002 = 2 × 7 × 643, so it is divisible by 2.
What are the factors of 9002?
1, 2, 7, 14, 643, 1286, 4501, 9002.
What is 9002 in binary?
10001100101010 (hexadecimal 232A, octal 21452).
What is the square root of 9002?
About 94.8789.
Is 9002 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 9002?
It is a composite number with 8 divisors.