The number 36006
36006 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 353. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 353, 706, 1059, 2118, 6001, 12002, 18003, 36006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36006 is composite. Its prime factorisation is
- 3
The divisors add up to 76464; without 36006 itself that is 40458, so 36006 is abundant (40458 is more than 36006). Euler's totient φ(36006) = 11264 numbers up to 36006 share no factor with it.
- 4
The digits of 36006 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36006 = 2 \times 3 \times 17 \times 353 \]
36006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76464 |
| Euler totient φ(n) | 11264 |
| Square | 1296432036 |
| Cube | 46679331888216 |
| Square root | 189.752470 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.6006 × |
36006 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and six |
| Binary (base 2) | 1000110010100110 |
| Octal (base 8) | 106246 |
| Hexadecimal (base 16) | 8CA6 |
| Base 3 | 1211101120 |
| As time | 36006 seconds = 10 h 0 min 6 s |
Is 36006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36006 ÷ 2 = 18003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36006 ÷ 3 = 12002) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36006 ÷ 6 = 6001) | 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 6) | 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 6) | 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 36006 a prime number?
No. 36006 = 2 × 3 × 17 × 353, so it is divisible by 2.
What are the factors of 36006?
1, 2, 3, 6, 17, 34, 51, 102, 353, 706, 1059, 2118, 6001, 12002, 18003, 36006.
What is 36006 in binary?
1000110010100110 (hexadecimal 8CA6, octal 106246).
What is the square root of 36006?
About 189.7525.
Is 36006 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 36006?
It is a composite number with 16 divisors.