The number 6977
6977 is the 897th prime number. Its only divisors are 1 and 6977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6977: the 897th prime number.
- 2
6977 is prime, so its only factors are 1 and 6977. It is the 897th prime; the next prime is 6983 and the one before is 6971.
- 3
The divisors add up to 6978; without 6977 itself that is 1, so 6977 is deficient (1 is less than 6977). Euler's totient φ(6977) = 6976 numbers up to 6977 share no factor with it.
- 4
The digits of 6977 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
6977 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6978 |
| Euler totient φ(n) | 6976 |
| Square | 48678529 |
| Cube | 339630096833 |
| Square root | 83.528438 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 31 |
| Scientific notation | 6.977 × |
6977 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and seventy-seven |
| Binary (base 2) | 1101101000001 |
| Octal (base 8) | 15501 |
| Hexadecimal (base 16) | 1B41 |
| Base 3 | 100120102 |
| As time | 6977 seconds = 1 h 56 min 17 s |
Is 6977 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6977 a prime number?
Yes. 6977 is divisible only by 1 and itself.
What are the factors of 6977?
1, 6977.
What is 6977 in binary?
1101101000001 (hexadecimal 1B41, octal 15501).
What is the square root of 6977?
About 83.5284.
Is 6977 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 6977?
6977 is the 897th prime number.