The number 39042
39042 is a composite number with 20 divisors. Its prime factorisation is 2 × × 241. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 241, 482, 723, 1446, 2169, 4338 … 39042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39042: a Harshad number: divisible by its digit sum 18.
- 2
39042 is composite. Its prime factorisation is
- 3
The divisors add up to 87846; without 39042 itself that is 48804, so 39042 is abundant (48804 is more than 39042). Euler's totient φ(39042) = 12960 numbers up to 39042 share no factor with it.
- 4
The digits of 39042 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39042 = 2 \times 3^{4} \times 241 \]39042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 87846 |
| Euler totient φ(n) | 12960 |
| Square | 1524277764 |
| Cube | 59510852462088 |
| Square root | 197.590486 (= 9√482) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.9042 × |
39042 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand and forty-two |
| Binary (base 2) | 1001100010000010 |
| Octal (base 8) | 114202 |
| Hexadecimal (base 16) | 9882 |
| Base 3 | 1222120000 |
| As time | 39042 seconds = 10 h 50 min 42 s |
Is 39042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39042 ÷ 2 = 19521) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39042 ÷ 3 = 13014) | 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 (39042 ÷ 6 = 6507) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39042 ÷ 9 = 4338) | 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 3) | 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 39042 a prime number?
No. 39042 = 2 × × 241, so it is divisible by 2.
What are the factors of 39042?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 241, 482, 723, 1446, 2169, 4338, 6507, 13014, 19521, 39042.
What is 39042 in binary?
1001100010000010 (hexadecimal 9882, octal 114202).
What is the square root of 39042?
About 197.5905, exactly 9√482.
Is 39042 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 39042?
39042 is a Harshad number: divisible by its digit sum 18.