The number 47967
47967 is a composite number with 8 divisors. Its prime factorisation is 3 × 59 × 271. Divisors (8): 1, 3, 59, 177, 271, 813, 15989, 47967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47967 is composite. Its prime factorisation is
- 3
The divisors add up to 65280; without 47967 itself that is 17313, so 47967 is deficient (17313 is less than 47967). Euler's totient φ(47967) = 31320 numbers up to 47967 share no factor with it.
- 4
The digits of 47967 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47967 = 3 \times 59 \times 271 \]
47967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65280 |
| Euler totient φ(n) | 31320 |
| Square | 2300833089 |
| Cube | 110364060780063 |
| Square root | 219.013698 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.7967 × |
47967 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and sixty-seven |
| Binary (base 2) | 1011101101011111 |
| Octal (base 8) | 135537 |
| Hexadecimal (base 16) | BB5F |
| Base 3 | 2102210120 |
| As time | 47967 seconds = 13 h 19 min 27 s |
Is 47967 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47967 ÷ 3 = 15989) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | 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 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47967 a prime number?
No. 47967 = 3 × 59 × 271, so it is divisible by 3.
What are the factors of 47967?
1, 3, 59, 177, 271, 813, 15989, 47967.
What is 47967 in binary?
1011101101011111 (hexadecimal BB5F, octal 135537).
What is the square root of 47967?
About 219.0137.
Is 47967 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 47967?
It is a composite number with 8 divisors.