The number 5080
5080 is a composite number with 16 divisors. Its prime factorisation is × 5 × 127. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5080 is composite. Its prime factorisation is
- 3
The divisors add up to 11520; without 5080 itself that is 6440, so 5080 is abundant (6440 is more than 5080). Euler's totient φ(5080) = 2016 numbers up to 5080 share no factor with it.
- 4
The digits of 5080 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 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5080 = 2^{3} \times 5 \times 127 \]5080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11520 |
| Euler totient φ(n) | 2016 |
| Square | 25806400 |
| Cube | 131096512000 |
| Square root | 71.274119 (= 2√1270) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 33 |
| Scientific notation | 5.08 × |
5080 in other forms
| Form | Value |
|---|---|
| In words | five thousand and eighty |
| Binary (base 2) | 1001111011000 |
| Octal (base 8) | 11730 |
| Hexadecimal (base 16) | 13D8 |
| Base 3 | 20222011 |
| As time | 5080 seconds = 1 h 24 min 40 s |
Is 5080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5080 ÷ 2 = 2540) | 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 (5080 ÷ 4 = 1270) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5080 ÷ 5 = 1016) | 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 5) | 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 (5080 ÷ 8 = 635) | 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 (5080 ÷ 10 = 508) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 5080 a prime number?
No. 5080 = × 5 × 127, so it is divisible by 2.
What are the factors of 5080?
1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080.
What is 5080 in binary?
1001111011000 (hexadecimal 13D8, octal 11730).
What is the square root of 5080?
About 71.2741, exactly 2√1270.
Is 5080 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5080?
It is a composite number with 16 divisors.