The number 48966
48966 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 8161. Divisors (8): 1, 2, 3, 6, 8161, 16322, 24483, 48966.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48966 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48966 is composite. Its prime factorisation is
- 3
The divisors add up to 97944; without 48966 itself that is 48978, so 48966 is abundant (48978 is more than 48966). Euler's totient φ(48966) = 16320 numbers up to 48966 share no factor with it.
- 4
The digits of 48966 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48966 = 2 \times 3 \times 8161 \]
48966 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 97944 |
| Euler totient φ(n) | 16320 |
| Square | 2397669156 |
| Cube | 117404267892696 |
| Square root | 221.282625 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8966 × |
48966 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and sixty-six |
| Binary (base 2) | 1011111101000110 |
| Octal (base 8) | 137506 |
| Hexadecimal (base 16) | BF46 |
| Base 3 | 2111011120 |
| As time | 48966 seconds = 13 h 36 min 6 s |
Is 48966 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48966 ÷ 2 = 24483) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48966 ÷ 3 = 16322) | 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 (48966 ÷ 6 = 8161) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 5) | 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 48966 a prime number?
No. 48966 = 2 × 3 × 8161, so it is divisible by 2.
What are the factors of 48966?
1, 2, 3, 6, 8161, 16322, 24483, 48966.
What is 48966 in binary?
1011111101000110 (hexadecimal BF46, octal 137506).
What is the square root of 48966?
About 221.2826.
Is 48966 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 48966?
It is a composite number with 8 divisors.