The number 71188
71188 is a composite number with 18 divisors. Its prime factorisation is × 13 × . Divisors (18): 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1369, 1924, 2738, 5476, 17797 … 71188.
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How to work it out
- 1
71188 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71188 is composite. Its prime factorisation is
- 3
The divisors add up to 137886; without 71188 itself that is 66698, so 71188 is deficient (66698 is less than 71188). Euler's totient φ(71188) = 31968 numbers up to 71188 share no factor with it.
- 4
The digits of 71188 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71188 = 2^{2} \times 13 \times 37^{2} \]71188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 137886 |
| Euler totient φ(n) | 31968 |
| Square | 5067731344 |
| Cube | 360761658916672 |
| Square root | 266.810794 (= 74√13) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.1188 × |
71188 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and eighty-eight |
| Binary (base 2) | 10001011000010100 |
| Octal (base 8) | 213024 |
| Hexadecimal (base 16) | 11614 |
| Base 3 | 10121122121 |
| As time | 71188 seconds = 19 h 46 min 28 s |
Is 71188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71188 ÷ 2 = 35594) | 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 (71188 ÷ 4 = 17797) | 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 | 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 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 71188 a prime number?
No. 71188 = × 13 × , so it is divisible by 2.
What are the factors of 71188?
1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1369, 1924, 2738, 5476, 17797, 35594, 71188.
What is 71188 in binary?
10001011000010100 (hexadecimal 11614, octal 213024).
What is the square root of 71188?
About 266.8108, exactly 74√13.
Is 71188 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 71188?
It is a composite number with 18 divisors.