The number 42039
42039 is a composite number with 12 divisors. Its prime factorisation is × 173. Divisors (12): 1, 3, 9, 27, 81, 173, 243, 519, 1557, 4671, 14013, 42039.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42039 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42039 is composite. Its prime factorisation is
- 3
The divisors add up to 63336; without 42039 itself that is 21297, so 42039 is deficient (21297 is less than 42039). Euler's totient φ(42039) = 27864 numbers up to 42039 share no factor with it.
- 4
The digits of 42039 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42039 = 3^{5} \times 173 \]42039 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63336 |
| Euler totient φ(n) | 27864 |
| Square | 1767277521 |
| Cube | 74294579705319 |
| Square root | 205.034143 (= 9√519) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2039 × |
42039 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and thirty-nine |
| Binary (base 2) | 1010010000110111 |
| Octal (base 8) | 122067 |
| Hexadecimal (base 16) | A437 |
| Base 3 | 2010200000 |
| As time | 42039 seconds = 11 h 40 min 39 s |
Is 42039 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42039 ÷ 3 = 14013) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42039 ÷ 9 = 4671) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42039 a prime number?
No. 42039 = × 173, so it is divisible by 3.
What are the factors of 42039?
1, 3, 9, 27, 81, 173, 243, 519, 1557, 4671, 14013, 42039.
What is 42039 in binary?
1010010000110111 (hexadecimal A437, octal 122067).
What is the square root of 42039?
About 205.0341, exactly 9√519.
Is 42039 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42039?
It is a composite number with 12 divisors.