The number 36024
36024 is a composite number with 32 divisors. Its prime factorisation is × 3 × 19 × 79. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 79, 114, 152, 158 … 36024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36024 is composite. Its prime factorisation is
- 3
The divisors add up to 96000; without 36024 itself that is 59976, so 36024 is abundant (59976 is more than 36024). Euler's totient φ(36024) = 11232 numbers up to 36024 share no factor with it.
- 4
The digits of 36024 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
\[ 36024 = 2^{3} \times 3 \times 19 \times 79 \]36024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 96000 |
| Euler totient φ(n) | 11232 |
| Square | 1297728576 |
| Cube | 46749374221824 |
| Square root | 189.799895 (= 2√9006) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.6024 × |
36024 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and twenty-four |
| Binary (base 2) | 1000110010111000 |
| Octal (base 8) | 106270 |
| Hexadecimal (base 16) | 8CB8 |
| Base 3 | 1211102020 |
| As time | 36024 seconds = 10 h 0 min 24 s |
Is 36024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36024 ÷ 2 = 18012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36024 ÷ 3 = 12008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36024 ÷ 4 = 9006) | 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 (36024 ÷ 6 = 6004) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (36024 ÷ 8 = 4503) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36024 ÷ 12 = 3002) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36024 a prime number?
No. 36024 = × 3 × 19 × 79, so it is divisible by 2.
What are the factors of 36024?
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 79, 114, 152, 158, 228, 237, 316, 456, 474, 632, 948, 1501, 1896, 3002, 4503, 6004, 9006, 12008, 18012, 36024.
What is 36024 in binary?
1000110010111000 (hexadecimal 8CB8, octal 106270).
What is the square root of 36024?
About 189.7999, exactly 2√9006.
Is 36024 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 36024?
It is a composite number with 32 divisors.