The number 71088
71088 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1481. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1481, 2962, 4443, 5924, 8886, 11848 … 71088.
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How to work it out
- 1
What is special about 71088: a Harshad number: divisible by its digit sum 24.
- 2
71088 is composite. Its prime factorisation is
- 3
The divisors add up to 183768; without 71088 itself that is 112680, so 71088 is abundant (112680 is more than 71088). Euler's totient φ(71088) = 23680 numbers up to 71088 share no factor with it.
- 4
The digits of 71088 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71088 = 2^{4} \times 3 \times 1481 \]71088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 183768 |
| Euler totient φ(n) | 23680 |
| Square | 5053503744 |
| Cube | 359243474153472 |
| Square root | 266.623330 (= 4√4443) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1088 × |
71088 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and eighty-eight |
| Binary (base 2) | 10001010110110000 |
| Octal (base 8) | 212660 |
| Hexadecimal (base 16) | 115B0 |
| Base 3 | 10121111220 |
| As time | 71088 seconds = 19 h 44 min 48 s |
Is 71088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71088 ÷ 2 = 35544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71088 ÷ 3 = 23696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71088 ÷ 4 = 17772) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71088 ÷ 6 = 11848) | 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 | Yes (71088 ÷ 8 = 8886) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71088 ÷ 12 = 5924) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71088 a prime number?
No. 71088 = × 3 × 1481, so it is divisible by 2.
What are the factors of 71088?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1481, 2962, 4443, 5924, 8886, 11848, 17772, 23696, 35544, 71088.
What is 71088 in binary?
10001010110110000 (hexadecimal 115B0, octal 212660).
What is the square root of 71088?
About 266.6233, exactly 4√4443.
Is 71088 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 71088?
71088 is a Harshad number: divisible by its digit sum 24.