The number 30006
30006 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1667. Divisors (12): 1, 2, 3, 6, 9, 18, 1667, 3334, 5001, 10002, 15003, 30006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30006: a Harshad number: divisible by its digit sum 9.
- 2
30006 is composite. Its prime factorisation is
- 3
The divisors add up to 65052; without 30006 itself that is 35046, so 30006 is abundant (35046 is more than 30006). Euler's totient φ(30006) = 9996 numbers up to 30006 share no factor with it.
- 4
The digits of 30006 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30006 = 2 \times 3^{2} \times 1667 \]30006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65052 |
| Euler totient φ(n) | 9996 |
| Square | 900360036 |
| Cube | 27016203240216 |
| Square root | 173.222400 (= 3√3334) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 3.0006 × |
30006 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and six |
| Binary (base 2) | 111010100110110 |
| Octal (base 8) | 72466 |
| Hexadecimal (base 16) | 7536 |
| Base 3 | 1112011100 |
| As time | 30006 seconds = 8 h 20 min 6 s |
Is 30006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30006 ÷ 2 = 15003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30006 ÷ 3 = 10002) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (30006 ÷ 6 = 5001) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (30006 ÷ 9 = 3334) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30006 a prime number?
No. 30006 = 2 × × 1667, so it is divisible by 2.
What are the factors of 30006?
1, 2, 3, 6, 9, 18, 1667, 3334, 5001, 10002, 15003, 30006.
What is 30006 in binary?
111010100110110 (hexadecimal 7536, octal 72466).
What is the square root of 30006?
About 173.2224, exactly 3√3334.
Is 30006 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 30006?
30006 is a Harshad number: divisible by its digit sum 9.