The number 30030
30030 is a composite number with 64 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 11 × 13. Divisors (64): 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 21, 22, 26, 30, 33 … 30030.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30030: a Harshad number: divisible by its digit sum 6.
- 2
30030 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 30030 itself that is 66738, so 30030 is abundant (66738 is more than 30030). Euler's totient φ(30030) = 5760 numbers up to 30030 share no factor with it.
- 4
The digits of 30030 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30030 = 2 \times 3 \times 5 \times 7 \times 11 \times 13 \]
30030 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 5760 |
| Square | 901800900 |
| Cube | 27081081027000 |
| Square root | 173.291662 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.003 × |
30030 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and thirty |
| Binary (base 2) | 111010101001110 |
| Octal (base 8) | 72516 |
| Hexadecimal (base 16) | 754E |
| Base 3 | 1112012020 |
| As time | 30030 seconds = 8 h 20 min 30 s |
Is 30030 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30030 ÷ 2 = 15015) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30030 ÷ 3 = 10010) | 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 | Yes (30030 ÷ 5 = 6006) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (30030 ÷ 6 = 5005) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (30030 ÷ 7 = 4290) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (30030 ÷ 10 = 3003) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (30030 ÷ 11 = 2730) | 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 30030 a prime number?
No. 30030 = 2 × 3 × 5 × 7 × 11 × 13, so it is divisible by 2.
What are the factors of 30030?
1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 21, 22, 26, 30, 33, 35, 39, 42, 55, 65, 66, 70, 77, 78, 91, 105, 110, 130, 143, 154, 165, 182, 195, 210, 231, 273, 286, 330, 385, 390, 429, 455, 462, 546, 715, 770, 858, 910, 1001, 1155, 1365, 1430, 2002, 2145, 2310, 2730, 3003, 4290, 5005, 6006, 10010, 15015, 30030.
What is 30030 in binary?
111010101001110 (hexadecimal 754E, octal 72516).
What is the square root of 30030?
About 173.2917.
Is 30030 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 30030?
30030 is a Harshad number: divisible by its digit sum 6.