The number 48092
48092 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1093. Divisors (12): 1, 2, 4, 11, 22, 44, 1093, 2186, 4372, 12023, 24046, 48092.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48092 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48092 is composite. Its prime factorisation is
- 3
The divisors add up to 91896; without 48092 itself that is 43804, so 48092 is deficient (43804 is less than 48092). Euler's totient φ(48092) = 21840 numbers up to 48092 share no factor with it.
- 4
The digits of 48092 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48092 = 2^{2} \times 11 \times 1093 \]48092 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91896 |
| Euler totient φ(n) | 21840 |
| Square | 2312840464 |
| Cube | 111229123594688 |
| Square root | 219.298883 (= 2√12023) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8092 × |
48092 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and ninety-two |
| Binary (base 2) | 1011101111011100 |
| Octal (base 8) | 135734 |
| Hexadecimal (base 16) | BBDC |
| Base 3 | 2102222012 |
| As time | 48092 seconds = 13 h 21 min 32 s |
Is 48092 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48092 ÷ 2 = 24046) | 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 (48092 ÷ 4 = 12023) | 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 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 | No (remainder 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48092 ÷ 11 = 4372) | 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 48092 a prime number?
No. 48092 = × 11 × 1093, so it is divisible by 2.
What are the factors of 48092?
1, 2, 4, 11, 22, 44, 1093, 2186, 4372, 12023, 24046, 48092.
What is 48092 in binary?
1011101111011100 (hexadecimal BBDC, octal 135734).
What is the square root of 48092?
About 219.2989, exactly 2√12023.
Is 48092 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48092?
It is a composite number with 12 divisors.