The number 6997
6997 is the 900th prime number. Its only divisors are 1 and 6997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6997: the 900th prime number.
- 2
6997 is prime, so its only factors are 1 and 6997. It is the 900th prime; the next prime is 7001 and the one before is 6991.
- 3
The divisors add up to 6998; without 6997 itself that is 1, so 6997 is deficient (1 is less than 6997). Euler's totient φ(6997) = 6996 numbers up to 6997 share no factor with it.
- 4
The digits of 6997 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
6997 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6998 |
| Euler totient φ(n) | 6996 |
| Square | 48958009 |
| Cube | 342559188973 |
| Square root | 83.648072 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 119 |
| Scientific notation | 6.997 × |
6997 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and ninety-seven |
| Binary (base 2) | 1101101010101 |
| Octal (base 8) | 15525 |
| Hexadecimal (base 16) | 1B55 |
| Base 3 | 100121011 |
| As time | 6997 seconds = 1 h 56 min 37 s |
Is 6997 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 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6997 a prime number?
Yes. 6997 is divisible only by 1 and itself.
What are the factors of 6997?
1, 6997.
What is 6997 in binary?
1101101010101 (hexadecimal 1B55, octal 15525).
What is the square root of 6997?
About 83.6481.
Is 6997 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 6997?
6997 is the 900th prime number.