The number 36009
36009 is a composite number with 6 divisors. Its prime factorisation is × 4001. Divisors (6): 1, 3, 9, 4001, 12003, 36009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36009 is composite. Its prime factorisation is
- 3
The divisors add up to 52026; without 36009 itself that is 16017, so 36009 is deficient (16017 is less than 36009). Euler's totient φ(36009) = 24000 numbers up to 36009 share no factor with it.
- 4
The digits of 36009 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 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36009 = 3^{2} \times 4001 \]36009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 52026 |
| Euler totient φ(n) | 24000 |
| Square | 1296648081 |
| Cube | 46691000748729 |
| Square root | 189.760375 (= 3√4001) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.6009 × |
36009 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and nine |
| Binary (base 2) | 1000110010101001 |
| Octal (base 8) | 106251 |
| Hexadecimal (base 16) | 8CA9 |
| Base 3 | 1211101200 |
| As time | 36009 seconds = 10 h 0 min 9 s |
Is 36009 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 (36009 ÷ 3 = 12003) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36009 ÷ 9 = 4001) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36009 a prime number?
No. 36009 = × 4001, so it is divisible by 3.
What are the factors of 36009?
1, 3, 9, 4001, 12003, 36009.
What is 36009 in binary?
1000110010101001 (hexadecimal 8CA9, octal 106251).
What is the square root of 36009?
About 189.7604, exactly 3√4001.
Is 36009 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36009?
It is a composite number with 6 divisors.