The number 50964
50964 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 137. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 137, 186, 274, 372, 411, 548 … 50964.
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How to work it out
- 1
50964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50964 is composite. Its prime factorisation is
- 3
The divisors add up to 123648; without 50964 itself that is 72684, so 50964 is abundant (72684 is more than 50964). Euler's totient φ(50964) = 16320 numbers up to 50964 share no factor with it.
- 4
The digits of 50964 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50964 = 2^{2} \times 3 \times 31 \times 137 \]50964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123648 |
| Euler totient φ(n) | 16320 |
| Square | 2597329296 |
| Cube | 132370290241344 |
| Square root | 225.752076 (= 2√12741) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.0964 × |
50964 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and sixty-four |
| Binary (base 2) | 1100011100010100 |
| Octal (base 8) | 143424 |
| Hexadecimal (base 16) | C714 |
| Base 3 | 2120220120 |
| As time | 50964 seconds = 14 h 9 min 24 s |
Is 50964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50964 ÷ 2 = 25482) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50964 ÷ 3 = 16988) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50964 ÷ 4 = 12741) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50964 ÷ 6 = 8494) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50964 ÷ 12 = 4247) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50964 a prime number?
No. 50964 = × 3 × 31 × 137, so it is divisible by 2.
What are the factors of 50964?
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 137, 186, 274, 372, 411, 548, 822, 1644, 4247, 8494, 12741, 16988, 25482, 50964.
What is 50964 in binary?
1100011100010100 (hexadecimal C714, octal 143424).
What is the square root of 50964?
About 225.7521, exactly 2√12741.
Is 50964 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 50964?
It is a composite number with 24 divisors.