The number 48036
48036 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4003. Divisors (12): 1, 2, 3, 4, 6, 12, 4003, 8006, 12009, 16012, 24018, 48036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48036 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48036 is composite. Its prime factorisation is
- 3
The divisors add up to 112112; without 48036 itself that is 64076, so 48036 is abundant (64076 is more than 48036). Euler's totient φ(48036) = 16008 numbers up to 48036 share no factor with it.
- 4
The digits of 48036 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48036 = 2^{2} \times 3 \times 4003 \]48036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 112112 |
| Euler totient φ(n) | 16008 |
| Square | 2307457296 |
| Cube | 110841018670656 |
| Square root | 219.171166 (= 2√12009) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8036 × |
48036 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and thirty-six |
| Binary (base 2) | 1011101110100100 |
| Octal (base 8) | 135644 |
| Hexadecimal (base 16) | BBA4 |
| Base 3 | 2102220010 |
| As time | 48036 seconds = 13 h 20 min 36 s |
Is 48036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48036 ÷ 2 = 24018) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48036 ÷ 3 = 16012) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48036 ÷ 4 = 12009) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48036 ÷ 6 = 8006) | 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 | 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 6) | 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 (48036 ÷ 12 = 4003) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48036 a prime number?
No. 48036 = × 3 × 4003, so it is divisible by 2.
What are the factors of 48036?
1, 2, 3, 4, 6, 12, 4003, 8006, 12009, 16012, 24018, 48036.
What is 48036 in binary?
1011101110100100 (hexadecimal BBA4, octal 135644).
What is the square root of 48036?
About 219.1712, exactly 2√12009.
Is 48036 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48036?
It is a composite number with 12 divisors.