The number 50344
50344 is a composite number with 32 divisors. Its prime factorisation is × 7 × 29 × 31. Divisors (32): 1, 2, 4, 7, 8, 14, 28, 29, 31, 56, 58, 62, 116, 124, 203, 217 … 50344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50344 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 50344 itself that is 64856, so 50344 is abundant (64856 is more than 50344). Euler's totient φ(50344) = 20160 numbers up to 50344 share no factor with it.
- 4
The digits of 50344 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50344 = 2^{3} \times 7 \times 29 \times 31 \]50344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 20160 |
| Square | 2534518336 |
| Cube | 127597791107584 |
| Square root | 224.374687 (= 2√12586) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0344 × |
50344 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and forty-four |
| Binary (base 2) | 1100010010101000 |
| Octal (base 8) | 142250 |
| Hexadecimal (base 16) | C4A8 |
| Base 3 | 2120001121 |
| As time | 50344 seconds = 13 h 59 min 4 s |
Is 50344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50344 ÷ 2 = 25172) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50344 ÷ 4 = 12586) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50344 ÷ 7 = 7192) | 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 | Yes (50344 ÷ 8 = 6293) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50344 a prime number?
No. 50344 = × 7 × 29 × 31, so it is divisible by 2.
What are the factors of 50344?
1, 2, 4, 7, 8, 14, 28, 29, 31, 56, 58, 62, 116, 124, 203, 217, 232, 248, 406, 434, 812, 868, 899, 1624, 1736, 1798, 3596, 6293, 7192, 12586, 25172, 50344.
What is 50344 in binary?
1100010010101000 (hexadecimal C4A8, octal 142250).
What is the square root of 50344?
About 224.3747, exactly 2√12586.
Is 50344 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 50344?
It is a composite number with 32 divisors.