The number 50080
50080 is a composite number with 24 divisors. Its prime factorisation is × 5 × 313. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 313, 626, 1252, 1565 … 50080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50080 is composite. Its prime factorisation is
- 3
The divisors add up to 118692; without 50080 itself that is 68612, so 50080 is abundant (68612 is more than 50080). Euler's totient φ(50080) = 19968 numbers up to 50080 share no factor with it.
- 4
The digits of 50080 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50080 = 2^{5} \times 5 \times 313 \]50080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 118692 |
| Euler totient φ(n) | 19968 |
| Square | 2508006400 |
| Cube | 125600960512000 |
| Square root | 223.785612 (= 4√3130) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.008 × |
50080 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and eighty |
| Binary (base 2) | 1100001110100000 |
| Octal (base 8) | 141640 |
| Hexadecimal (base 16) | C3A0 |
| Base 3 | 2112200211 |
| As time | 50080 seconds = 13 h 54 min 40 s |
Is 50080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50080 ÷ 2 = 25040) | 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 (50080 ÷ 4 = 12520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50080 ÷ 5 = 10016) | 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 | No (remainder 2) | 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 (50080 ÷ 8 = 6260) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50080 ÷ 10 = 5008) | 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 50080 a prime number?
No. 50080 = × 5 × 313, so it is divisible by 2.
What are the factors of 50080?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 313, 626, 1252, 1565, 2504, 3130, 5008, 6260, 10016, 12520, 25040, 50080.
What is 50080 in binary?
1100001110100000 (hexadecimal C3A0, octal 141640).
What is the square root of 50080?
About 223.7856, exactly 4√3130.
Is 50080 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 50080?
It is a composite number with 24 divisors.