The number 48320
48320 is a composite number with 28 divisors. Its prime factorisation is × 5 × 151. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 151, 160, 302, 320 … 48320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48320 is composite. Its prime factorisation is
- 3
The divisors add up to 115824; without 48320 itself that is 67504, so 48320 is abundant (67504 is more than 48320). Euler's totient φ(48320) = 19200 numbers up to 48320 share no factor with it.
- 4
The digits of 48320 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48320 = 2^{6} \times 5 \times 151 \]48320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 115824 |
| Euler totient φ(n) | 19200 |
| Square | 2334822400 |
| Cube | 112818618368000 |
| Square root | 219.818107 (= 8√755) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.832 × |
48320 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and twenty |
| Binary (base 2) | 1011110011000000 |
| Octal (base 8) | 136300 |
| Hexadecimal (base 16) | BCC0 |
| Base 3 | 2110021122 |
| As time | 48320 seconds = 13 h 25 min 20 s |
Is 48320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48320 ÷ 2 = 24160) | 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 (48320 ÷ 4 = 12080) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48320 ÷ 5 = 9664) | 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 (48320 ÷ 8 = 6040) | 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 | Yes (48320 ÷ 10 = 4832) | 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 48320 a prime number?
No. 48320 = × 5 × 151, so it is divisible by 2.
What are the factors of 48320?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 151, 160, 302, 320, 604, 755, 1208, 1510, 2416, 3020, 4832, 6040, 9664, 12080, 24160, 48320.
What is 48320 in binary?
1011110011000000 (hexadecimal BCC0, octal 136300).
What is the square root of 48320?
About 219.8181, exactly 8√755.
Is 48320 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48320?
It is a composite number with 28 divisors.