The number 50337
50337 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 47. Divisors (24): 1, 3, 7, 9, 17, 21, 47, 51, 63, 119, 141, 153, 329, 357, 423, 799 … 50337.
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How to work it out
- 1
50337 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50337 is composite. Its prime factorisation is
- 3
The divisors add up to 89856; without 50337 itself that is 39519, so 50337 is deficient (39519 is less than 50337). Euler's totient φ(50337) = 26496 numbers up to 50337 share no factor with it.
- 4
The digits of 50337 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50337 = 3^{2} \times 7 \times 17 \times 47 \]50337 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89856 |
| Euler totient φ(n) | 26496 |
| Square | 2533813569 |
| Cube | 127544573622753 |
| Square root | 224.359087 (= 3√5593) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 5.0337 × |
50337 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and thirty-seven |
| Binary (base 2) | 1100010010100001 |
| Octal (base 8) | 142241 |
| Hexadecimal (base 16) | C4A1 |
| Base 3 | 2120001100 |
| As time | 50337 seconds = 13 h 58 min 57 s |
Is 50337 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 (50337 ÷ 3 = 16779) | 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 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 (50337 ÷ 7 = 7191) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50337 ÷ 9 = 5593) | 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 1) | 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 50337 a prime number?
No. 50337 = × 7 × 17 × 47, so it is divisible by 3.
What are the factors of 50337?
1, 3, 7, 9, 17, 21, 47, 51, 63, 119, 141, 153, 329, 357, 423, 799, 987, 1071, 2397, 2961, 5593, 7191, 16779, 50337.
What is 50337 in binary?
1100010010100001 (hexadecimal C4A1, octal 142241).
What is the square root of 50337?
About 224.3591, exactly 3√5593.
Is 50337 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50337?
It is a composite number with 24 divisors.