The number 4966
4966 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 191. Divisors (8): 1, 2, 13, 26, 191, 382, 2483, 4966.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4966 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4966 is composite. Its prime factorisation is
- 3
The divisors add up to 8064; without 4966 itself that is 3098, so 4966 is deficient (3098 is less than 4966). Euler's totient φ(4966) = 2280 numbers up to 4966 share no factor with it.
- 4
The digits of 4966 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4966 = 2 \times 13 \times 191 \]
4966 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8064 |
| Euler totient φ(n) | 2280 |
| Square | 24661156 |
| Cube | 122467300696 |
| Square root | 70.469852 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 41 |
| Scientific notation | 4.966 × |
4966 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and sixty-six |
| Binary (base 2) | 1001101100110 |
| Octal (base 8) | 11546 |
| Hexadecimal (base 16) | 1366 |
| Base 3 | 20210221 |
| As time | 4966 seconds = 1 h 22 min 46 s |
Is 4966 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4966 ÷ 2 = 2483) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4966 a prime number?
No. 4966 = 2 × 13 × 191, so it is divisible by 2.
What are the factors of 4966?
1, 2, 13, 26, 191, 382, 2483, 4966.
What is 4966 in binary?
1001101100110 (hexadecimal 1366, octal 11546).
What is the square root of 4966?
About 70.4699.
Is 4966 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 4966?
It is a composite number with 8 divisors.