The number 71126
71126 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 53 × 61. Divisors (16): 1, 2, 11, 22, 53, 61, 106, 122, 583, 671, 1166, 1342, 3233, 6466, 35563, 71126.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71126: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71126 is composite. Its prime factorisation is
- 3
The divisors add up to 120528; without 71126 itself that is 49402, so 71126 is deficient (49402 is less than 71126). Euler's totient φ(71126) = 31200 numbers up to 71126 share no factor with it.
- 4
The digits of 71126 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71126 = 2 \times 11 \times 53 \times 61 \]
71126 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 120528 |
| Euler totient φ(n) | 31200 |
| Square | 5058907876 |
| Cube | 359819881588376 |
| Square root | 266.694582 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1126 × |
71126 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and twenty-six |
| Binary (base 2) | 10001010111010110 |
| Octal (base 8) | 212726 |
| Hexadecimal (base 16) | 115D6 |
| Base 3 | 10121120022 |
| As time | 71126 seconds = 19 h 45 min 26 s |
Is 71126 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71126 ÷ 2 = 35563) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (71126 ÷ 11 = 6466) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71126 a prime number?
No. 71126 = 2 × 11 × 53 × 61, so it is divisible by 2.
What are the factors of 71126?
1, 2, 11, 22, 53, 61, 106, 122, 583, 671, 1166, 1342, 3233, 6466, 35563, 71126.
What is 71126 in binary?
10001010111010110 (hexadecimal 115D6, octal 212726).
What is the square root of 71126?
About 266.6946.
Is 71126 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 71126?
71126 is a happy number: repeatedly adding the squares of its digits reaches 1.