The number 71012
71012 is a composite number with 12 divisors. Its prime factorisation is × 41 × 433. Divisors (12): 1, 2, 4, 41, 82, 164, 433, 866, 1732, 17753, 35506, 71012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71012 is composite. Its prime factorisation is
- 3
The divisors add up to 127596; without 71012 itself that is 56584, so 71012 is deficient (56584 is less than 71012). Euler's totient φ(71012) = 34560 numbers up to 71012 share no factor with it.
- 4
The digits of 71012 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71012 = 2^{2} \times 41 \times 433 \]71012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 127596 |
| Euler totient φ(n) | 34560 |
| Square | 5042704144 |
| Cube | 358092506673728 |
| Square root | 266.480769 (= 2√17753) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.1012 × |
71012 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and twelve |
| Binary (base 2) | 10001010101100100 |
| Octal (base 8) | 212544 |
| Hexadecimal (base 16) | 11564 |
| Base 3 | 10121102002 |
| As time | 71012 seconds = 19 h 43 min 32 s |
Is 71012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71012 ÷ 2 = 35506) | 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 | Yes (71012 ÷ 4 = 17753) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71012 a prime number?
No. 71012 = × 41 × 433, so it is divisible by 2.
What are the factors of 71012?
1, 2, 4, 41, 82, 164, 433, 866, 1732, 17753, 35506, 71012.
What is 71012 in binary?
10001010101100100 (hexadecimal 11564, octal 212544).
What is the square root of 71012?
About 266.4808, exactly 2√17753.
Is 71012 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 71012?
It is a composite number with 12 divisors.