The number 36504
36504 is a composite number with 48 divisors. Its prime factorisation is × × . Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52 … 36504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36504: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
36504 is composite. Its prime factorisation is
- 3
The divisors add up to 109800; without 36504 itself that is 73296, so 36504 is abundant (73296 is more than 36504). Euler's totient φ(36504) = 11232 numbers up to 36504 share no factor with it.
- 4
The digits of 36504 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 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36504 = 2^{3} \times 3^{3} \times 13^{2} \]36504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 109800 |
| Euler totient φ(n) | 11232 |
| Square | 1332542016 |
| Cube | 48643113752064 |
| Square root | 191.060200 (= 78√6) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6504 × |
36504 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand five hundred and four |
| Binary (base 2) | 1000111010011000 |
| Octal (base 8) | 107230 |
| Hexadecimal (base 16) | 8E98 |
| Base 3 | 1212002000 |
| As time | 36504 seconds = 10 h 8 min 24 s |
Is 36504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36504 ÷ 2 = 18252) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36504 ÷ 3 = 12168) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36504 ÷ 4 = 9126) | 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 (36504 ÷ 6 = 6084) | 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 | Yes (36504 ÷ 8 = 4563) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36504 ÷ 9 = 4056) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36504 ÷ 12 = 3042) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36504 a prime number?
No. 36504 = × × , so it is divisible by 2.
What are the factors of 36504?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 169, 216, 234, 312, 338, 351, 468, 507, 676, 702, 936, 1014, 1352, 1404, 1521, 2028, 2808, 3042, 4056, 4563, 6084, 9126, 12168, 18252, 36504.
What is 36504 in binary?
1000111010011000 (hexadecimal 8E98, octal 107230).
What is the square root of 36504?
About 191.0602, exactly 78√6.
Is 36504 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36504?
36504 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.