The number 71071
71071 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 13 × 71. Divisors (16): 1, 7, 11, 13, 71, 77, 91, 143, 497, 781, 923, 1001, 5467, 6461, 10153, 71071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71071: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71071 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 71071 itself that is 25697, so 71071 is deficient (25697 is less than 71071). Euler's totient φ(71071) = 50400 numbers up to 71071 share no factor with it.
- 4
The digits of 71071 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 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71071 = 7 \times 11 \times 13 \times 71 \]
71071 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 50400 |
| Square | 5051087041 |
| Cube | 358985807090911 |
| Square root | 266.591448 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.1071 × |
71071 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and seventy-one |
| Binary (base 2) | 10001010110011111 |
| Octal (base 8) | 212637 |
| Hexadecimal (base 16) | 1159F |
| Base 3 | 10121111021 |
| As time | 71071 seconds = 19 h 44 min 31 s |
Is 71071 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71071 ÷ 7 = 10153) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (71071 ÷ 11 = 6461) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71071 a prime number?
No. 71071 = 7 × 11 × 13 × 71, so it is divisible by 7.
What are the factors of 71071?
1, 7, 11, 13, 71, 77, 91, 143, 497, 781, 923, 1001, 5467, 6461, 10153, 71071.
What is 71071 in binary?
10001010110011111 (hexadecimal 1159F, octal 212637).
What is the square root of 71071?
About 266.5914.
Is 71071 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 71071?
71071 is a happy number: repeatedly adding the squares of its digits reaches 1.