The number 50973
50973 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1307. Divisors (8): 1, 3, 13, 39, 1307, 3921, 16991, 50973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50973 is composite. Its prime factorisation is
- 3
The divisors add up to 73248; without 50973 itself that is 22275, so 50973 is deficient (22275 is less than 50973). Euler's totient φ(50973) = 31344 numbers up to 50973 share no factor with it.
- 4
The digits of 50973 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50973 = 3 \times 13 \times 1307 \]
50973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 73248 |
| Euler totient φ(n) | 31344 |
| Square | 2598246729 |
| Cube | 132440430517317 |
| Square root | 225.772009 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0973 × |
50973 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and seventy-three |
| Binary (base 2) | 1100011100011101 |
| Octal (base 8) | 143435 |
| Hexadecimal (base 16) | C71D |
| Base 3 | 2120220220 |
| As time | 50973 seconds = 14 h 9 min 33 s |
Is 50973 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 (50973 ÷ 3 = 16991) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50973 a prime number?
No. 50973 = 3 × 13 × 1307, so it is divisible by 3.
What are the factors of 50973?
1, 3, 13, 39, 1307, 3921, 16991, 50973.
What is 50973 in binary?
1100011100011101 (hexadecimal C71D, octal 143435).
What is the square root of 50973?
About 225.7720.
Is 50973 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 50973?
It is a composite number with 8 divisors.