The number 30012
30012 is a composite number with 24 divisors. Its prime factorisation is × 3 × 41 × 61. Divisors (24): 1, 2, 3, 4, 6, 12, 41, 61, 82, 122, 123, 164, 183, 244, 246, 366 … 30012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30012: a Harshad number: divisible by its digit sum 6.
- 2
30012 is composite. Its prime factorisation is
- 3
The divisors add up to 72912; without 30012 itself that is 42900, so 30012 is abundant (42900 is more than 30012). Euler's totient φ(30012) = 9600 numbers up to 30012 share no factor with it.
- 4
The digits of 30012 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30012 = 2^{2} \times 3 \times 41 \times 61 \]30012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 72912 |
| Euler totient φ(n) | 9600 |
| Square | 900720144 |
| Cube | 27032412961728 |
| Square root | 173.239718 (= 2√7503) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 3.0012 × |
30012 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and twelve |
| Binary (base 2) | 111010100111100 |
| Octal (base 8) | 72474 |
| Hexadecimal (base 16) | 753C |
| Base 3 | 1112011120 |
| As time | 30012 seconds = 8 h 20 min 12 s |
Is 30012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30012 ÷ 2 = 15006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30012 ÷ 3 = 10004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (30012 ÷ 4 = 7503) | 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 | Yes (30012 ÷ 6 = 5002) | 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 4) | 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 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 | Yes (30012 ÷ 12 = 2501) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30012 a prime number?
No. 30012 = × 3 × 41 × 61, so it is divisible by 2.
What are the factors of 30012?
1, 2, 3, 4, 6, 12, 41, 61, 82, 122, 123, 164, 183, 244, 246, 366, 492, 732, 2501, 5002, 7503, 10004, 15006, 30012.
What is 30012 in binary?
111010100111100 (hexadecimal 753C, octal 72474).
What is the square root of 30012?
About 173.2397, exactly 2√7503.
Is 30012 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 30012?
30012 is a Harshad number: divisible by its digit sum 6.