The number 48220
48220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2411. Divisors (12): 1, 2, 4, 5, 10, 20, 2411, 4822, 9644, 12055, 24110, 48220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48220 is composite. Its prime factorisation is
- 3
The divisors add up to 101304; without 48220 itself that is 53084, so 48220 is abundant (53084 is more than 48220). Euler's totient φ(48220) = 19280 numbers up to 48220 share no factor with it.
- 4
The digits of 48220 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48220 = 2^{2} \times 5 \times 2411 \]48220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 101304 |
| Euler totient φ(n) | 19280 |
| Square | 2325168400 |
| Cube | 112119620248000 |
| Square root | 219.590528 (= 2√12055) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.822 × |
48220 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and twenty |
| Binary (base 2) | 1011110001011100 |
| Octal (base 8) | 136134 |
| Hexadecimal (base 16) | BC5C |
| Base 3 | 2110010221 |
| As time | 48220 seconds = 13 h 23 min 40 s |
Is 48220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48220 ÷ 2 = 24110) | 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 (48220 ÷ 4 = 12055) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48220 ÷ 5 = 9644) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48220 ÷ 10 = 4822) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 48220 a prime number?
No. 48220 = × 5 × 2411, so it is divisible by 2.
What are the factors of 48220?
1, 2, 4, 5, 10, 20, 2411, 4822, 9644, 12055, 24110, 48220.
What is 48220 in binary?
1011110001011100 (hexadecimal BC5C, octal 136134).
What is the square root of 48220?
About 219.5905, exactly 2√12055.
Is 48220 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 48220?
It is a composite number with 12 divisors.