The number 48820
48820 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2441. Divisors (12): 1, 2, 4, 5, 10, 20, 2441, 4882, 9764, 12205, 24410, 48820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48820 is composite. Its prime factorisation is
- 3
The divisors add up to 102564; without 48820 itself that is 53744, so 48820 is abundant (53744 is more than 48820). Euler's totient φ(48820) = 19520 numbers up to 48820 share no factor with it.
- 4
The digits of 48820 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48820 = 2^{2} \times 5 \times 2441 \]48820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 102564 |
| Euler totient φ(n) | 19520 |
| Square | 2383392400 |
| Cube | 116357216968000 |
| Square root | 220.952484 (= 2√12205) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.882 × |
48820 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and twenty |
| Binary (base 2) | 1011111010110100 |
| Octal (base 8) | 137264 |
| Hexadecimal (base 16) | BEB4 |
| Base 3 | 2110222011 |
| As time | 48820 seconds = 13 h 33 min 40 s |
Is 48820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48820 ÷ 2 = 24410) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48820 ÷ 4 = 12205) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48820 ÷ 5 = 9764) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48820 ÷ 10 = 4882) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48820 a prime number?
No. 48820 = × 5 × 2441, so it is divisible by 2.
What are the factors of 48820?
1, 2, 4, 5, 10, 20, 2441, 4882, 9764, 12205, 24410, 48820.
What is 48820 in binary?
1011111010110100 (hexadecimal BEB4, octal 137264).
What is the square root of 48820?
About 220.9525, exactly 2√12205.
Is 48820 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48820?
It is a composite number with 12 divisors.