The number 36042
36042 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 6007. Divisors (8): 1, 2, 3, 6, 6007, 12014, 18021, 36042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36042 is composite. Its prime factorisation is
- 3
The divisors add up to 72096; without 36042 itself that is 36054, so 36042 is abundant (36054 is more than 36042). Euler's totient φ(36042) = 12012 numbers up to 36042 share no factor with it.
- 4
The digits of 36042 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36042 = 2 \times 3 \times 6007 \]
36042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72096 |
| Euler totient φ(n) | 12012 |
| Square | 1299025764 |
| Cube | 46819486586088 |
| Square root | 189.847307 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.6042 × |
36042 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and forty-two |
| Binary (base 2) | 1000110011001010 |
| Octal (base 8) | 106312 |
| Hexadecimal (base 16) | 8CCA |
| Base 3 | 1211102220 |
| As time | 36042 seconds = 10 h 0 min 42 s |
Is 36042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36042 ÷ 2 = 18021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36042 ÷ 3 = 12014) | 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 (36042 ÷ 6 = 6007) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 6) | 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 6) | 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 36042 a prime number?
No. 36042 = 2 × 3 × 6007, so it is divisible by 2.
What are the factors of 36042?
1, 2, 3, 6, 6007, 12014, 18021, 36042.
What is 36042 in binary?
1000110011001010 (hexadecimal 8CCA, octal 106312).
What is the square root of 36042?
About 189.8473.
Is 36042 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 36042?
It is a composite number with 8 divisors.