The number 50967
50967 is a composite number with 12 divisors. Its prime factorisation is × 7 × 809. Divisors (12): 1, 3, 7, 9, 21, 63, 809, 2427, 5663, 7281, 16989, 50967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50967 is composite. Its prime factorisation is
- 3
The divisors add up to 84240; without 50967 itself that is 33273, so 50967 is deficient (33273 is less than 50967). Euler's totient φ(50967) = 29088 numbers up to 50967 share no factor with it.
- 4
The digits of 50967 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50967 = 3^{2} \times 7 \times 809 \]50967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84240 |
| Euler totient φ(n) | 29088 |
| Square | 2597635089 |
| Cube | 132393667581063 |
| Square root | 225.758721 (= 3√5663) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 202 |
| Scientific notation | 5.0967 × |
50967 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and sixty-seven |
| Binary (base 2) | 1100011100010111 |
| Octal (base 8) | 143427 |
| Hexadecimal (base 16) | C717 |
| Base 3 | 2120220200 |
| As time | 50967 seconds = 14 h 9 min 27 s |
Is 50967 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 (50967 ÷ 3 = 16989) | 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 | Yes (50967 ÷ 7 = 7281) | 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 | Yes (50967 ÷ 9 = 5663) | 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 4) | 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 50967 a prime number?
No. 50967 = × 7 × 809, so it is divisible by 3.
What are the factors of 50967?
1, 3, 7, 9, 21, 63, 809, 2427, 5663, 7281, 16989, 50967.
What is 50967 in binary?
1100011100010111 (hexadecimal C717, octal 143427).
What is the square root of 50967?
About 225.7587, exactly 3√5663.
Is 50967 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 50967?
It is a composite number with 12 divisors.