The number 48224
48224 is a composite number with 24 divisors. Its prime factorisation is × 11 × 137. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 137, 176, 274, 352, 548, 1096 … 48224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48224 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48224 is composite. Its prime factorisation is
- 3
The divisors add up to 104328; without 48224 itself that is 56104, so 48224 is abundant (56104 is more than 48224). Euler's totient φ(48224) = 21760 numbers up to 48224 share no factor with it.
- 4
The digits of 48224 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 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48224 = 2^{5} \times 11 \times 137 \]48224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 104328 |
| Euler totient φ(n) | 21760 |
| Square | 2325554176 |
| Cube | 112147524583424 |
| Square root | 219.599636 (= 4√3014) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.8224 × |
48224 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and twenty-four |
| Binary (base 2) | 1011110001100000 |
| Octal (base 8) | 136140 |
| Hexadecimal (base 16) | BC60 |
| Base 3 | 2110011002 |
| As time | 48224 seconds = 13 h 23 min 44 s |
Is 48224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48224 ÷ 2 = 24112) | 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 (48224 ÷ 4 = 12056) | 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 1) | 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 (48224 ÷ 8 = 6028) | 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 | Yes (48224 ÷ 11 = 4384) | 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 48224 a prime number?
No. 48224 = × 11 × 137, so it is divisible by 2.
What are the factors of 48224?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 137, 176, 274, 352, 548, 1096, 1507, 2192, 3014, 4384, 6028, 12056, 24112, 48224.
What is 48224 in binary?
1011110001100000 (hexadecimal BC60, octal 136140).
What is the square root of 48224?
About 219.5996, exactly 4√3014.
Is 48224 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48224?
It is a composite number with 24 divisors.