The number 48668
48668 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 23, 46, 92, 529, 1058, 2116, 12167, 24334, 48668.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48668 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48668 is composite. Its prime factorisation is
- 3
The divisors add up to 89040; without 48668 itself that is 40372, so 48668 is deficient (40372 is less than 48668). Euler's totient φ(48668) = 23276 numbers up to 48668 share no factor with it.
- 4
The digits of 48668 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48668 = 2^{2} \times 23^{3} \]48668 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89040 |
| Euler totient φ(n) | 23276 |
| Square | 2368574224 |
| Cube | 115273770333632 |
| Square root | 220.608250 (= 46√23) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8668 × |
48668 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and sixty-eight |
| Binary (base 2) | 1011111000011100 |
| Octal (base 8) | 137034 |
| Hexadecimal (base 16) | BE1C |
| Base 3 | 2110202112 |
| As time | 48668 seconds = 13 h 31 min 8 s |
Is 48668 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48668 ÷ 2 = 24334) | 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 (48668 ÷ 4 = 12167) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 48668 a prime number?
No. 48668 = × , so it is divisible by 2.
What are the factors of 48668?
1, 2, 4, 23, 46, 92, 529, 1058, 2116, 12167, 24334, 48668.
What is 48668 in binary?
1011111000011100 (hexadecimal BE1C, octal 137034).
What is the square root of 48668?
About 220.6083, exactly 46√23.
Is 48668 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48668?
It is a composite number with 12 divisors.