The number 50880
50880 is a composite number with 56 divisors. Its prime factorisation is × 3 × 5 × 53. Divisors (56): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40 … 50880.
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How to work it out
- 1
50880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50880 is composite. Its prime factorisation is
- 3
The divisors add up to 164592; without 50880 itself that is 113712, so 50880 is abundant (113712 is more than 50880). Euler's totient φ(50880) = 13312 numbers up to 50880 share no factor with it.
- 4
The digits of 50880 add up to 21, 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
\[ 50880 = 2^{6} \times 3 \times 5 \times 53 \]50880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 164592 |
| Euler totient φ(n) | 13312 |
| Square | 2588774400 |
| Cube | 131716841472000 |
| Square root | 225.565955 (= 8√795) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.088 × |
50880 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand eight hundred and eighty |
| Binary (base 2) | 1100011011000000 |
| Octal (base 8) | 143300 |
| Hexadecimal (base 16) | C6C0 |
| Base 3 | 2120210110 |
| As time | 50880 seconds = 14 h 8 min 0 s |
Is 50880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50880 ÷ 2 = 25440) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50880 ÷ 3 = 16960) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50880 ÷ 4 = 12720) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50880 ÷ 5 = 10176) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50880 ÷ 6 = 8480) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (50880 ÷ 8 = 6360) | 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 (50880 ÷ 10 = 5088) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50880 ÷ 12 = 4240) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50880 a prime number?
No. 50880 = × 3 × 5 × 53, so it is divisible by 2.
What are the factors of 50880?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 53, 60, 64, 80, 96, 106, 120, 159, 160, 192, 212, 240, 265, 318, 320, 424, 480, 530, 636, 795, 848, 960, 1060, 1272, 1590, 1696, 2120, 2544, 3180, 3392, 4240, 5088, 6360, 8480, 10176, 12720, 16960, 25440, 50880.
What is 50880 in binary?
1100011011000000 (hexadecimal C6C0, octal 143300).
What is the square root of 50880?
About 225.5660, exactly 8√795.
Is 50880 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 50880?
It is a composite number with 56 divisors.