The number 9770
9770 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 977. Divisors (8): 1, 2, 5, 10, 977, 1954, 4885, 9770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9770 is composite. Its prime factorisation is
- 3
The divisors add up to 17604; without 9770 itself that is 7834, so 9770 is deficient (7834 is less than 9770). Euler's totient φ(9770) = 3904 numbers up to 9770 share no factor with it.
- 4
The digits of 9770 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9770 = 2 \times 5 \times 977 \]
9770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17604 |
| Euler totient φ(n) | 3904 |
| Square | 95452900 |
| Cube | 932574833000 |
| Square root | 98.843310 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.77 × |
9770 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and seventy |
| Binary (base 2) | 10011000101010 |
| Octal (base 8) | 23052 |
| Hexadecimal (base 16) | 262A |
| Base 3 | 111101212 |
| As time | 9770 seconds = 2 h 42 min 50 s |
Is 9770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9770 ÷ 2 = 4885) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9770 ÷ 5 = 1954) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9770 ÷ 10 = 977) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9770 a prime number?
No. 9770 = 2 × 5 × 977, so it is divisible by 2.
What are the factors of 9770?
1, 2, 5, 10, 977, 1954, 4885, 9770.
What is 9770 in binary?
10011000101010 (hexadecimal 262A, octal 23052).
What is the square root of 9770?
About 98.8433.
Is 9770 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9770?
It is a composite number with 8 divisors.