The number 3009
3009 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 59. Divisors (8): 1, 3, 17, 51, 59, 177, 1003, 3009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3009 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 3009 itself that is 1311, so 3009 is deficient (1311 is less than 3009). Euler's totient φ(3009) = 1856 numbers up to 3009 share no factor with it.
- 4
The digits of 3009 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3009 = 3 \times 17 \times 59 \]
3009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 1856 |
| Square | 9054081 |
| Cube | 27243729729 |
| Square root | 54.854353 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 40 |
| Scientific notation | 3.009 × |
3009 in other forms
| Form | Value |
|---|---|
| In words | three thousand and nine |
| Roman numerals | MMMIX |
| Binary (base 2) | 101111000001 |
| Octal (base 8) | 5701 |
| Hexadecimal (base 16) | BC1 |
| Base 3 | 11010110 |
| As time | 3009 seconds = 50 min 9 s |
Is 3009 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 (3009 ÷ 3 = 1003) | 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 6) | 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 3) | 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 6) | 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 3009 a prime number?
No. 3009 = 3 × 17 × 59, so it is divisible by 3.
What are the factors of 3009?
1, 3, 17, 51, 59, 177, 1003, 3009.
What is 3009 in binary?
101111000001 (hexadecimal BC1, octal 5701).
What is the square root of 3009?
About 54.8544.
What is 3009 in Roman numerals?
MMMIX.
Is 3009 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3009?
It is a composite number with 8 divisors.