The number 42030
42030 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 467. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 467, 934, 1401, 2335 … 42030.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42030: a Harshad number: divisible by its digit sum 9.
- 2
42030 is composite. Its prime factorisation is
- 3
The divisors add up to 109512; without 42030 itself that is 67482, so 42030 is abundant (67482 is more than 42030). Euler's totient φ(42030) = 11184 numbers up to 42030 share no factor with it.
- 4
The digits of 42030 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42030 = 2 \times 3^{2} \times 5 \times 467 \]42030 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 109512 |
| Euler totient φ(n) | 11184 |
| Square | 1766520900 |
| Cube | 74246873427000 |
| Square root | 205.012195 (= 3√4670) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.203 × |
42030 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and thirty |
| Binary (base 2) | 1010010000101110 |
| Octal (base 8) | 122056 |
| Hexadecimal (base 16) | A42E |
| Base 3 | 2010122200 |
| As time | 42030 seconds = 11 h 40 min 30 s |
Is 42030 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42030 ÷ 2 = 21015) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42030 ÷ 3 = 14010) | 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 (42030 ÷ 5 = 8406) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42030 ÷ 6 = 7005) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (42030 ÷ 9 = 4670) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42030 ÷ 10 = 4203) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 42030 a prime number?
No. 42030 = 2 × × 5 × 467, so it is divisible by 2.
What are the factors of 42030?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 467, 934, 1401, 2335, 2802, 4203, 4670, 7005, 8406, 14010, 21015, 42030.
What is 42030 in binary?
1010010000101110 (hexadecimal A42E, octal 122056).
What is the square root of 42030?
About 205.0122, exactly 3√4670.
Is 42030 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 42030?
42030 is a Harshad number: divisible by its digit sum 9.