The number 48082
48082 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 829. Divisors (8): 1, 2, 29, 58, 829, 1658, 24041, 48082.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48082 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48082 is composite. Its prime factorisation is
- 3
The divisors add up to 74700; without 48082 itself that is 26618, so 48082 is deficient (26618 is less than 48082). Euler's totient φ(48082) = 23184 numbers up to 48082 share no factor with it.
- 4
The digits of 48082 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48082 = 2 \times 29 \times 829 \]
48082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 74700 |
| Euler totient φ(n) | 23184 |
| Square | 2311878724 |
| Cube | 111159752807368 |
| Square root | 219.276082 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8082 × |
48082 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and eighty-two |
| Binary (base 2) | 1011101111010010 |
| Octal (base 8) | 135722 |
| Hexadecimal (base 16) | BBD2 |
| Base 3 | 2102221211 |
| As time | 48082 seconds = 13 h 21 min 22 s |
Is 48082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48082 ÷ 2 = 24041) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48082 a prime number?
No. 48082 = 2 × 29 × 829, so it is divisible by 2.
What are the factors of 48082?
1, 2, 29, 58, 829, 1658, 24041, 48082.
What is 48082 in binary?
1011101111010010 (hexadecimal BBD2, octal 135722).
What is the square root of 48082?
About 219.2761.
Is 48082 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48082?
It is a composite number with 8 divisors.