The number 30009
30009 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1429. Divisors (8): 1, 3, 7, 21, 1429, 4287, 10003, 30009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30009 is composite. Its prime factorisation is
- 3
The divisors add up to 45760; without 30009 itself that is 15751, so 30009 is deficient (15751 is less than 30009). Euler's totient φ(30009) = 17136 numbers up to 30009 share no factor with it.
- 4
The digits of 30009 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30009 = 3 \times 7 \times 1429 \]
30009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45760 |
| Euler totient φ(n) | 17136 |
| Square | 900540081 |
| Cube | 27024307290729 |
| Square root | 173.231060 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.0009 × |
30009 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and nine |
| Binary (base 2) | 111010100111001 |
| Octal (base 8) | 72471 |
| Hexadecimal (base 16) | 7539 |
| Base 3 | 1112011110 |
| As time | 30009 seconds = 8 h 20 min 9 s |
Is 30009 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 (30009 ÷ 3 = 10003) | 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 | Yes (30009 ÷ 7 = 4287) | 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 1) | 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 30009 a prime number?
No. 30009 = 3 × 7 × 1429, so it is divisible by 3.
What are the factors of 30009?
1, 3, 7, 21, 1429, 4287, 10003, 30009.
What is 30009 in binary?
111010100111001 (hexadecimal 7539, octal 72471).
What is the square root of 30009?
About 173.2311.
Is 30009 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 30009?
It is a composite number with 8 divisors.