The number 47966
47966 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 827. Divisors (8): 1, 2, 29, 58, 827, 1654, 23983, 47966.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47966 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47966 is composite. Its prime factorisation is
- 3
The divisors add up to 74520; without 47966 itself that is 26554, so 47966 is deficient (26554 is less than 47966). Euler's totient φ(47966) = 23128 numbers up to 47966 share no factor with it.
- 4
The digits of 47966 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47966 = 2 \times 29 \times 827 \]
47966 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 74520 |
| Euler totient φ(n) | 23128 |
| Square | 2300737156 |
| Cube | 110357158424696 |
| Square root | 219.011415 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.7966 × |
47966 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and sixty-six |
| Binary (base 2) | 1011101101011110 |
| Octal (base 8) | 135536 |
| Hexadecimal (base 16) | BB5E |
| Base 3 | 2102210112 |
| As time | 47966 seconds = 13 h 19 min 26 s |
Is 47966 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47966 ÷ 2 = 23983) | 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 | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47966 a prime number?
No. 47966 = 2 × 29 × 827, so it is divisible by 2.
What are the factors of 47966?
1, 2, 29, 58, 827, 1654, 23983, 47966.
What is 47966 in binary?
1011101101011110 (hexadecimal BB5E, octal 135536).
What is the square root of 47966?
About 219.0114.
Is 47966 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 47966?
It is a composite number with 8 divisors.