The number 36048
36048 is a composite number with 20 divisors. Its prime factorisation is × 3 × 751. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 751, 1502, 2253, 3004, 4506, 6008 … 36048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36048 is composite. Its prime factorisation is
- 3
The divisors add up to 93248; without 36048 itself that is 57200, so 36048 is abundant (57200 is more than 36048). Euler's totient φ(36048) = 12000 numbers up to 36048 share no factor with it.
- 4
The digits of 36048 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36048 = 2^{4} \times 3 \times 751 \]36048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 93248 |
| Euler totient φ(n) | 12000 |
| Square | 1299458304 |
| Cube | 46842872942592 |
| Square root | 189.863109 (= 4√2253) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.6048 × |
36048 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and forty-eight |
| Binary (base 2) | 1000110011010000 |
| Octal (base 8) | 106320 |
| Hexadecimal (base 16) | 8CD0 |
| Base 3 | 1211110010 |
| As time | 36048 seconds = 10 h 0 min 48 s |
Is 36048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36048 ÷ 2 = 18024) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36048 ÷ 3 = 12016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36048 ÷ 4 = 9012) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36048 ÷ 6 = 6008) | 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 | Yes (36048 ÷ 8 = 4506) | 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 8) | 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 | Yes (36048 ÷ 12 = 3004) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36048 a prime number?
No. 36048 = × 3 × 751, so it is divisible by 2.
What are the factors of 36048?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 751, 1502, 2253, 3004, 4506, 6008, 9012, 12016, 18024, 36048.
What is 36048 in binary?
1000110011010000 (hexadecimal 8CD0, octal 106320).
What is the square root of 36048?
About 189.8631, exactly 4√2253.
Is 36048 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 36048?
It is a composite number with 20 divisors.