The number 36004
36004 is a composite number with 6 divisors. Its prime factorisation is × 9001. Divisors (6): 1, 2, 4, 9001, 18002, 36004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36004 is composite. Its prime factorisation is
- 3
The divisors add up to 63014; without 36004 itself that is 27010, so 36004 is deficient (27010 is less than 36004). Euler's totient φ(36004) = 18000 numbers up to 36004 share no factor with it.
- 4
The digits of 36004 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36004 = 2^{2} \times 9001 \]36004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 63014 |
| Euler totient φ(n) | 18000 |
| Square | 1296288016 |
| Cube | 46671553728064 |
| Square root | 189.747200 (= 2√9001) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.6004 × |
36004 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and four |
| Binary (base 2) | 1000110010100100 |
| Octal (base 8) | 106244 |
| Hexadecimal (base 16) | 8CA4 |
| Base 3 | 1211101111 |
| As time | 36004 seconds = 10 h 0 min 4 s |
Is 36004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36004 ÷ 2 = 18002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36004 ÷ 4 = 9001) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36004 a prime number?
No. 36004 = × 9001, so it is divisible by 2.
What are the factors of 36004?
1, 2, 4, 9001, 18002, 36004.
What is 36004 in binary?
1000110010100100 (hexadecimal 8CA4, octal 106244).
What is the square root of 36004?
About 189.7472, exactly 2√9001.
Is 36004 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 36004?
It is a composite number with 6 divisors.