The number 9677
9677 is a twin prime (9677 and 9679 are both prime) and the 1194th prime number. Its only divisors are 1 and 9677.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9677: a twin prime (9677 and 9679 are both prime); the 1194th prime number.
- 2
9677 is prime, so its only factors are 1 and 9677. It is the 1194th prime; the next prime is 9679 and the one before is 9661.
- 3
The divisors add up to 9678; without 9677 itself that is 1, so 9677 is deficient (1 is less than 9677). Euler's totient φ(9677) = 9676 numbers up to 9677 share no factor with it.
- 4
The digits of 9677 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 60 steps to reach 1.
9677 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9678 |
| Euler totient φ(n) | 9676 |
| Square | 93644329 |
| Cube | 906196171733 |
| Square root | 98.371744 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.677 × |
9677 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and seventy-seven |
| Binary (base 2) | 10010111001101 |
| Octal (base 8) | 22715 |
| Hexadecimal (base 16) | 25CD |
| Base 3 | 111021102 |
| As time | 9677 seconds = 2 h 41 min 17 s |
Is 9677 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 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 5) | 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 8) | 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 9677 a prime number?
Yes. 9677 is divisible only by 1 and itself.
What are the factors of 9677?
1, 9677.
What is 9677 in binary?
10010111001101 (hexadecimal 25CD, octal 22715).
What is the square root of 9677?
About 98.3717.
Is 9677 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9677?
9677 is a twin prime (9677 and 9679 are both prime); the 1194th prime number.