The number 6009
6009 is a composite number with 4 divisors. Its prime factorisation is 3 × 2003. Divisors (4): 1, 3, 2003, 6009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6009: a semiprime: 3 × 2003, the product of two primes.
- 2
6009 is composite. Its prime factorisation is
- 3
The divisors add up to 8016; without 6009 itself that is 2007, so 6009 is deficient (2007 is less than 6009). Euler's totient φ(6009) = 4004 numbers up to 6009 share no factor with it.
- 4
The digits of 6009 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6009 = 3 \times 2003 \]
6009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8016 |
| Euler totient φ(n) | 4004 |
| Square | 36108081 |
| Cube | 216973458729 |
| Square root | 77.517740 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 93 |
| Scientific notation | 6.009 × |
6009 in other forms
| Form | Value |
|---|---|
| In words | six thousand and nine |
| Binary (base 2) | 1011101111001 |
| Octal (base 8) | 13571 |
| Hexadecimal (base 16) | 1779 |
| Base 3 | 22020120 |
| As time | 6009 seconds = 1 h 40 min 9 s |
Is 6009 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 (6009 ÷ 3 = 2003) | 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 | No (remainder 4) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6009 a prime number?
No. 6009 = 3 × 2003, so it is divisible by 3.
What are the factors of 6009?
1, 3, 2003, 6009.
What is 6009 in binary?
1011101111001 (hexadecimal 1779, octal 13571).
What is the square root of 6009?
About 77.5177.
Is 6009 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 6009?
6009 is a semiprime: 3 × 2003, the product of two primes.