The number 30042
30042 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1669. Divisors (12): 1, 2, 3, 6, 9, 18, 1669, 3338, 5007, 10014, 15021, 30042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30042: a Harshad number: divisible by its digit sum 9.
- 2
30042 is composite. Its prime factorisation is
- 3
The divisors add up to 65130; without 30042 itself that is 35088, so 30042 is abundant (35088 is more than 30042). Euler's totient φ(30042) = 10008 numbers up to 30042 share no factor with it.
- 4
The digits of 30042 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30042 = 2 \times 3^{2} \times 1669 \]30042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65130 |
| Euler totient φ(n) | 10008 |
| Square | 902521764 |
| Cube | 27113558834088 |
| Square root | 173.326282 (= 3√3338) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 64 |
| Scientific notation | 3.0042 × |
30042 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and forty-two |
| Binary (base 2) | 111010101011010 |
| Octal (base 8) | 72532 |
| Hexadecimal (base 16) | 755A |
| Base 3 | 1112012200 |
| As time | 30042 seconds = 8 h 20 min 42 s |
Is 30042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30042 ÷ 2 = 15021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30042 ÷ 3 = 10014) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (30042 ÷ 6 = 5007) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (30042 ÷ 9 = 3338) | 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 1) | 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 30042 a prime number?
No. 30042 = 2 × × 1669, so it is divisible by 2.
What are the factors of 30042?
1, 2, 3, 6, 9, 18, 1669, 3338, 5007, 10014, 15021, 30042.
What is 30042 in binary?
111010101011010 (hexadecimal 755A, octal 72532).
What is the square root of 30042?
About 173.3263, exactly 3√3338.
Is 30042 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 30042?
30042 is a Harshad number: divisible by its digit sum 9.