The number 48444
48444 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 367. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 367, 734, 1101, 1468 … 48444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48444 is composite. Its prime factorisation is
- 3
The divisors add up to 123648; without 48444 itself that is 75204, so 48444 is abundant (75204 is more than 48444). Euler's totient φ(48444) = 14640 numbers up to 48444 share no factor with it.
- 4
The digits of 48444 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48444 = 2^{2} \times 3 \times 11 \times 367 \]48444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123648 |
| Euler totient φ(n) | 14640 |
| Square | 2346821136 |
| Cube | 113689403112384 |
| Square root | 220.099977 (= 2√12111) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8444 × |
48444 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and forty-four |
| Binary (base 2) | 1011110100111100 |
| Octal (base 8) | 136474 |
| Hexadecimal (base 16) | BD3C |
| Base 3 | 2110110020 |
| As time | 48444 seconds = 13 h 27 min 24 s |
Is 48444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48444 ÷ 2 = 24222) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48444 ÷ 3 = 16148) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48444 ÷ 4 = 12111) | 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 (48444 ÷ 6 = 8074) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 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 | Yes (48444 ÷ 11 = 4404) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48444 ÷ 12 = 4037) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48444 a prime number?
No. 48444 = × 3 × 11 × 367, so it is divisible by 2.
What are the factors of 48444?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 367, 734, 1101, 1468, 2202, 4037, 4404, 8074, 12111, 16148, 24222, 48444.
What is 48444 in binary?
1011110100111100 (hexadecimal BD3C, octal 136474).
What is the square root of 48444?
About 220.1000, exactly 2√12111.
Is 48444 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48444?
It is a composite number with 24 divisors.