The number 48066
48066 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 8011. Divisors (8): 1, 2, 3, 6, 8011, 16022, 24033, 48066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48066 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48066 is composite. Its prime factorisation is
- 3
The divisors add up to 96144; without 48066 itself that is 48078, so 48066 is abundant (48078 is more than 48066). Euler's totient φ(48066) = 16020 numbers up to 48066 share no factor with it.
- 4
The digits of 48066 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48066 = 2 \times 3 \times 8011 \]
48066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 96144 |
| Euler totient φ(n) | 16020 |
| Square | 2310340356 |
| Cube | 111048819551496 |
| Square root | 219.239595 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8066 × |
48066 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and sixty-six |
| Binary (base 2) | 1011101111000010 |
| Octal (base 8) | 135702 |
| Hexadecimal (base 16) | BBC2 |
| Base 3 | 2102221020 |
| As time | 48066 seconds = 13 h 21 min 6 s |
Is 48066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48066 ÷ 2 = 24033) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48066 ÷ 3 = 16022) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48066 ÷ 6 = 8011) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48066 a prime number?
No. 48066 = 2 × 3 × 8011, so it is divisible by 2.
What are the factors of 48066?
1, 2, 3, 6, 8011, 16022, 24033, 48066.
What is 48066 in binary?
1011101111000010 (hexadecimal BBC2, octal 135702).
What is the square root of 48066?
About 219.2396.
Is 48066 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48066?
It is a composite number with 8 divisors.