The number 7171
7171 is a composite number with 4 divisors. Its prime factorisation is 71 × 101. Divisors (4): 1, 71, 101, 7171.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7171: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 101, the product of two primes.
- 2
7171 is composite. Its prime factorisation is
- 3
The divisors add up to 7344; without 7171 itself that is 173, so 7171 is deficient (173 is less than 7171). Euler's totient φ(7171) = 7000 numbers up to 7171 share no factor with it.
- 4
The digits of 7171 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7171 = 71 \times 101 \]
7171 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7344 |
| Euler totient φ(n) | 7000 |
| Square | 51423241 |
| Cube | 368756061211 |
| Square root | 84.681757 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 7.171 × |
7171 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and seventy-one |
| Binary (base 2) | 1110000000011 |
| Octal (base 8) | 16003 |
| Hexadecimal (base 16) | 1C03 |
| Base 3 | 100211121 |
| As time | 7171 seconds = 1 h 59 min 31 s |
Is 7171 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 | 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 | No (remainder 3) | 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 | No (remainder 10) | 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 7171 a prime number?
No. 7171 = 71 × 101, so it is divisible by 71.
What are the factors of 7171?
1, 71, 101, 7171.
What is 7171 in binary?
1110000000011 (hexadecimal 1C03, octal 16003).
What is the square root of 7171?
About 84.6818.
Is 7171 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 7171?
7171 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 101, the product of two primes.