The number 36084
36084 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 97. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 93, 97, 124, 186, 194, 291, 372, 388 … 36084.
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How to work it out
- 1
36084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36084 is composite. Its prime factorisation is
- 3
The divisors add up to 87808; without 36084 itself that is 51724, so 36084 is abundant (51724 is more than 36084). Euler's totient φ(36084) = 11520 numbers up to 36084 share no factor with it.
- 4
The digits of 36084 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36084 = 2^{2} \times 3 \times 31 \times 97 \]36084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87808 |
| Euler totient φ(n) | 11520 |
| Square | 1302055056 |
| Cube | 46983354640704 |
| Square root | 189.957890 (= 2√9021) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.6084 × |
36084 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and eighty-four |
| Binary (base 2) | 1000110011110100 |
| Octal (base 8) | 106364 |
| Hexadecimal (base 16) | 8CF4 |
| Base 3 | 1211111110 |
| As time | 36084 seconds = 10 h 1 min 24 s |
Is 36084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36084 ÷ 2 = 18042) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36084 ÷ 3 = 12028) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36084 ÷ 4 = 9021) | 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 | Yes (36084 ÷ 6 = 6014) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36084 ÷ 12 = 3007) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36084 a prime number?
No. 36084 = × 3 × 31 × 97, so it is divisible by 2.
What are the factors of 36084?
1, 2, 3, 4, 6, 12, 31, 62, 93, 97, 124, 186, 194, 291, 372, 388, 582, 1164, 3007, 6014, 9021, 12028, 18042, 36084.
What is 36084 in binary?
1000110011110100 (hexadecimal 8CF4, octal 106364).
What is the square root of 36084?
About 189.9579, exactly 2√9021.
Is 36084 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 36084?
It is a composite number with 24 divisors.