The number 48824
48824 is a composite number with 16 divisors. Its prime factorisation is × 17 × 359. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 359, 718, 1436, 2872, 6103, 12206, 24412, 48824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48824 is composite. Its prime factorisation is
- 3
The divisors add up to 97200; without 48824 itself that is 48376, so 48824 is deficient (48376 is less than 48824). Euler's totient φ(48824) = 22912 numbers up to 48824 share no factor with it.
- 4
The digits of 48824 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48824 = 2^{3} \times 17 \times 359 \]48824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97200 |
| Euler totient φ(n) | 22912 |
| Square | 2383782976 |
| Cube | 116385820020224 |
| Square root | 220.961535 (= 2√12206) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8824 × |
48824 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and twenty-four |
| Binary (base 2) | 1011111010111000 |
| Octal (base 8) | 137270 |
| Hexadecimal (base 16) | BEB8 |
| Base 3 | 2110222022 |
| As time | 48824 seconds = 13 h 33 min 44 s |
Is 48824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48824 ÷ 2 = 24412) | 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 (48824 ÷ 4 = 12206) | 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 6) | 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 (48824 ÷ 8 = 6103) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 48824 a prime number?
No. 48824 = × 17 × 359, so it is divisible by 2.
What are the factors of 48824?
1, 2, 4, 8, 17, 34, 68, 136, 359, 718, 1436, 2872, 6103, 12206, 24412, 48824.
What is 48824 in binary?
1011111010111000 (hexadecimal BEB8, octal 137270).
What is the square root of 48824?
About 220.9615, exactly 2√12206.
Is 48824 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48824?
It is a composite number with 16 divisors.