The number 71080
71080 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1777. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1777, 3554, 7108, 8885, 14216, 17770, 35540, 71080.
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How to work it out
- 1
71080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71080 is composite. Its prime factorisation is
- 3
The divisors add up to 160020; without 71080 itself that is 88940, so 71080 is abundant (88940 is more than 71080). Euler's totient φ(71080) = 28416 numbers up to 71080 share no factor with it.
- 4
The digits of 71080 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71080 = 2^{3} \times 5 \times 1777 \]71080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 160020 |
| Euler totient φ(n) | 28416 |
| Square | 5052366400 |
| Cube | 359122203712000 |
| Square root | 266.608327 (= 2√17770) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.108 × |
71080 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and eighty |
| Binary (base 2) | 10001010110101000 |
| Octal (base 8) | 212650 |
| Hexadecimal (base 16) | 115A8 |
| Base 3 | 10121111121 |
| As time | 71080 seconds = 19 h 44 min 40 s |
Is 71080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71080 ÷ 2 = 35540) | 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 (71080 ÷ 4 = 17770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71080 ÷ 5 = 14216) | 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 (71080 ÷ 8 = 8885) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71080 ÷ 10 = 7108) | 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 71080 a prime number?
No. 71080 = × 5 × 1777, so it is divisible by 2.
What are the factors of 71080?
1, 2, 4, 5, 8, 10, 20, 40, 1777, 3554, 7108, 8885, 14216, 17770, 35540, 71080.
What is 71080 in binary?
10001010110101000 (hexadecimal 115A8, octal 212650).
What is the square root of 71080?
About 266.6083, exactly 2√17770.
Is 71080 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 71080?
It is a composite number with 16 divisors.