The number 48081
48081 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 31 × 47. Divisors (16): 1, 3, 11, 31, 33, 47, 93, 141, 341, 517, 1023, 1457, 1551, 4371, 16027, 48081.
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How to work it out
- 1
48081 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48081 is composite. Its prime factorisation is
- 3
The divisors add up to 73728; without 48081 itself that is 25647, so 48081 is deficient (25647 is less than 48081). Euler's totient φ(48081) = 27600 numbers up to 48081 share no factor with it.
- 4
The digits of 48081 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48081 = 3 \times 11 \times 31 \times 47 \]
48081 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73728 |
| Euler totient φ(n) | 27600 |
| Square | 2311782561 |
| Cube | 111152817315441 |
| Square root | 219.273801 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8081 × |
48081 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and eighty-one |
| Binary (base 2) | 1011101111010001 |
| Octal (base 8) | 135721 |
| Hexadecimal (base 16) | BBD1 |
| Base 3 | 2102221210 |
| As time | 48081 seconds = 13 h 21 min 21 s |
Is 48081 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48081 ÷ 3 = 16027) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48081 ÷ 11 = 4371) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48081 a prime number?
No. 48081 = 3 × 11 × 31 × 47, so it is divisible by 3.
What are the factors of 48081?
1, 3, 11, 31, 33, 47, 93, 141, 341, 517, 1023, 1457, 1551, 4371, 16027, 48081.
What is 48081 in binary?
1011101111010001 (hexadecimal BBD1, octal 135721).
What is the square root of 48081?
About 219.2738.
Is 48081 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48081?
It is a composite number with 16 divisors.