The number 48044
48044 is a composite number with 6 divisors. Its prime factorisation is × 12011. Divisors (6): 1, 2, 4, 12011, 24022, 48044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48044 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48044 is composite. Its prime factorisation is
- 3
The divisors add up to 84084; without 48044 itself that is 36040, so 48044 is deficient (36040 is less than 48044). Euler's totient φ(48044) = 24020 numbers up to 48044 share no factor with it.
- 4
The digits of 48044 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48044 = 2^{2} \times 12011 \]48044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 84084 |
| Euler totient φ(n) | 24020 |
| Square | 2308225936 |
| Cube | 110896406869184 |
| Square root | 219.189416 (= 2√12011) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8044 × |
48044 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and forty-four |
| Binary (base 2) | 1011101110101100 |
| Octal (base 8) | 135654 |
| Hexadecimal (base 16) | BBAC |
| Base 3 | 2102220102 |
| As time | 48044 seconds = 13 h 20 min 44 s |
Is 48044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48044 ÷ 2 = 24022) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48044 ÷ 4 = 12011) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48044 a prime number?
No. 48044 = × 12011, so it is divisible by 2.
What are the factors of 48044?
1, 2, 4, 12011, 24022, 48044.
What is 48044 in binary?
1011101110101100 (hexadecimal BBAC, octal 135654).
What is the square root of 48044?
About 219.1894, exactly 2√12011.
Is 48044 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48044?
It is a composite number with 6 divisors.