The number 6971
6971 is the 896th prime number. Its only divisors are 1 and 6971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6971: the 896th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6971 is prime, so its only factors are 1 and 6971. It is the 896th prime; the next prime is 6977 and the one before is 6967.
- 3
The divisors add up to 6972; without 6971 itself that is 1, so 6971 is deficient (1 is less than 6971). Euler's totient φ(6971) = 6970 numbers up to 6971 share no factor with it.
- 4
The digits of 6971 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
6971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6972 |
| Euler totient φ(n) | 6970 |
| Square | 48594841 |
| Cube | 338754636611 |
| Square root | 83.492515 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 6.971 × |
6971 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and seventy-one |
| Binary (base 2) | 1101100111011 |
| Octal (base 8) | 15473 |
| Hexadecimal (base 16) | 1B3B |
| Base 3 | 100120012 |
| As time | 6971 seconds = 1 h 56 min 11 s |
Is 6971 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 2) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6971 a prime number?
Yes. 6971 is divisible only by 1 and itself.
What are the factors of 6971?
1, 6971.
What is 6971 in binary?
1101100111011 (hexadecimal 1B3B, octal 15473).
What is the square root of 6971?
About 83.4925.
Is 6971 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 6971?
6971 is the 896th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.