The number 50340
50340 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 839. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 839, 1678, 2517, 3356 … 50340.
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How to work it out
- 1
What is special about 50340: a Harshad number: divisible by its digit sum 12.
- 2
50340 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 50340 itself that is 90780, so 50340 is abundant (90780 is more than 50340). Euler's totient φ(50340) = 13408 numbers up to 50340 share no factor with it.
- 4
The digits of 50340 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50340 = 2^{2} \times 3 \times 5 \times 839 \]50340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 13408 |
| Square | 2534115600 |
| Cube | 127567379304000 |
| Square root | 224.365773 (= 2√12585) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.034 × |
50340 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and forty |
| Binary (base 2) | 1100010010100100 |
| Octal (base 8) | 142244 |
| Hexadecimal (base 16) | C4A4 |
| Base 3 | 2120001110 |
| As time | 50340 seconds = 13 h 59 min 0 s |
Is 50340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50340 ÷ 2 = 25170) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50340 ÷ 3 = 16780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50340 ÷ 4 = 12585) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50340 ÷ 5 = 10068) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50340 ÷ 6 = 8390) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (50340 ÷ 10 = 5034) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50340 ÷ 12 = 4195) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50340 a prime number?
No. 50340 = × 3 × 5 × 839, so it is divisible by 2.
What are the factors of 50340?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 839, 1678, 2517, 3356, 4195, 5034, 8390, 10068, 12585, 16780, 25170, 50340.
What is 50340 in binary?
1100010010100100 (hexadecimal C4A4, octal 142244).
What is the square root of 50340?
About 224.3658, exactly 2√12585.
Is 50340 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 50340?
50340 is a Harshad number: divisible by its digit sum 12.