The number 48848
48848 is a composite number with 20 divisors. Its prime factorisation is × 43 × 71. Divisors (20): 1, 2, 4, 8, 16, 43, 71, 86, 142, 172, 284, 344, 568, 688, 1136, 3053 … 48848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48848 is composite. Its prime factorisation is
- 3
The divisors add up to 98208; without 48848 itself that is 49360, so 48848 is abundant (49360 is more than 48848). Euler's totient φ(48848) = 23520 numbers up to 48848 share no factor with it.
- 4
The digits of 48848 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48848 = 2^{4} \times 43 \times 71 \]48848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 98208 |
| Euler totient φ(n) | 23520 |
| Square | 2386127104 |
| Cube | 116557536776192 |
| Square root | 221.015837 (= 4√3053) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8848 × |
48848 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and forty-eight |
| Binary (base 2) | 1011111011010000 |
| Octal (base 8) | 137320 |
| Hexadecimal (base 16) | BED0 |
| Base 3 | 2111000012 |
| As time | 48848 seconds = 13 h 34 min 8 s |
Is 48848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48848 ÷ 2 = 24424) | 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 (48848 ÷ 4 = 12212) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | Yes (48848 ÷ 8 = 6106) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 48848 a prime number?
No. 48848 = × 43 × 71, so it is divisible by 2.
What are the factors of 48848?
1, 2, 4, 8, 16, 43, 71, 86, 142, 172, 284, 344, 568, 688, 1136, 3053, 6106, 12212, 24424, 48848.
What is 48848 in binary?
1011111011010000 (hexadecimal BED0, octal 137320).
What is the square root of 48848?
About 221.0158, exactly 4√3053.
Is 48848 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48848?
It is a composite number with 20 divisors.