The number 9771
9771 is a composite number with 4 divisors. Its prime factorisation is 3 × 3257. Divisors (4): 1, 3, 3257, 9771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9771: a semiprime: 3 × 3257, the product of two primes.
- 2
9771 is composite. Its prime factorisation is
- 3
The divisors add up to 13032; without 9771 itself that is 3261, so 9771 is deficient (3261 is less than 9771). Euler's totient φ(9771) = 6512 numbers up to 9771 share no factor with it.
- 4
The digits of 9771 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9771 = 3 \times 3257 \]
9771 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13032 |
| Euler totient φ(n) | 6512 |
| Square | 95472441 |
| Cube | 932861221011 |
| Square root | 98.848369 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.771 × |
9771 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and seventy-one |
| Binary (base 2) | 10011000101011 |
| Octal (base 8) | 23053 |
| Hexadecimal (base 16) | 262B |
| Base 3 | 111101220 |
| As time | 9771 seconds = 2 h 42 min 51 s |
Is 9771 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 (9771 ÷ 3 = 3257) | 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 3) | 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 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9771 a prime number?
No. 9771 = 3 × 3257, so it is divisible by 3.
What are the factors of 9771?
1, 3, 3257, 9771.
What is 9771 in binary?
10011000101011 (hexadecimal 262B, octal 23053).
What is the square root of 9771?
About 98.8484.
Is 9771 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9771?
9771 is a semiprime: 3 × 3257, the product of two primes.