The number 50772
50772 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4231. Divisors (12): 1, 2, 3, 4, 6, 12, 4231, 8462, 12693, 16924, 25386, 50772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50772 is composite. Its prime factorisation is
- 3
The divisors add up to 118496; without 50772 itself that is 67724, so 50772 is abundant (67724 is more than 50772). Euler's totient φ(50772) = 16920 numbers up to 50772 share no factor with it.
- 4
The digits of 50772 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50772 = 2^{2} \times 3 \times 4231 \]50772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 118496 |
| Euler totient φ(n) | 16920 |
| Square | 2577795984 |
| Cube | 130879857699648 |
| Square root | 225.326430 (= 2√12693) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0772 × |
50772 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand seven hundred and seventy-two |
| Binary (base 2) | 1100011001010100 |
| Octal (base 8) | 143124 |
| Hexadecimal (base 16) | C654 |
| Base 3 | 2120122110 |
| As time | 50772 seconds = 14 h 6 min 12 s |
Is 50772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50772 ÷ 2 = 25386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50772 ÷ 3 = 16924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50772 ÷ 4 = 12693) | 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 | Yes (50772 ÷ 6 = 8462) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (50772 ÷ 12 = 4231) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50772 a prime number?
No. 50772 = × 3 × 4231, so it is divisible by 2.
What are the factors of 50772?
1, 2, 3, 4, 6, 12, 4231, 8462, 12693, 16924, 25386, 50772.
What is 50772 in binary?
1100011001010100 (hexadecimal C654, octal 143124).
What is the square root of 50772?
About 225.3264, exactly 2√12693.
Is 50772 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 50772?
It is a composite number with 12 divisors.