The number 9777
9777 is a composite number with 4 divisors. Its prime factorisation is 3 × 3259. Divisors (4): 1, 3, 3259, 9777.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9777: a semiprime: 3 × 3259, the product of two primes.
- 2
9777 is composite. Its prime factorisation is
- 3
The divisors add up to 13040; without 9777 itself that is 3263, so 9777 is deficient (3263 is less than 9777). Euler's totient φ(9777) = 6516 numbers up to 9777 share no factor with it.
- 4
The digits of 9777 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9777 = 3 \times 3259 \]
9777 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13040 |
| Euler totient φ(n) | 6516 |
| Square | 95589729 |
| Cube | 934580780433 |
| Square root | 98.878714 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.777 × |
9777 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and seventy-seven |
| Binary (base 2) | 10011000110001 |
| Octal (base 8) | 23061 |
| Hexadecimal (base 16) | 2631 |
| Base 3 | 111102010 |
| As time | 9777 seconds = 2 h 42 min 57 s |
Is 9777 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 | Yes (9777 ÷ 3 = 3259) | 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 3) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9777 a prime number?
No. 9777 = 3 × 3259, so it is divisible by 3.
What are the factors of 9777?
1, 3, 3259, 9777.
What is 9777 in binary?
10011000110001 (hexadecimal 2631, octal 23061).
What is the square root of 9777?
About 98.8787.
Is 9777 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 9777?
9777 is a semiprime: 3 × 3259, the product of two primes.