The number 9790
9790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 89. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9790 is composite. Its prime factorisation is
- 3
The divisors add up to 19440; without 9790 itself that is 9650, so 9790 is deficient (9650 is less than 9790). Euler's totient φ(9790) = 3520 numbers up to 9790 share no factor with it.
- 4
The digits of 9790 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9790 = 2 \times 5 \times 11 \times 89 \]
9790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19440 |
| Euler totient φ(n) | 3520 |
| Square | 95844100 |
| Cube | 938313739000 |
| Square root | 98.944429 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.79 × |
9790 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and ninety |
| Binary (base 2) | 10011000111110 |
| Octal (base 8) | 23076 |
| Hexadecimal (base 16) | 263E |
| Base 3 | 111102121 |
| As time | 9790 seconds = 2 h 43 min 10 s |
Is 9790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9790 ÷ 2 = 4895) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (9790 ÷ 5 = 1958) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9790 ÷ 10 = 979) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9790 ÷ 11 = 890) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9790 a prime number?
No. 9790 = 2 × 5 × 11 × 89, so it is divisible by 2.
What are the factors of 9790?
1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790.
What is 9790 in binary?
10011000111110 (hexadecimal 263E, octal 23076).
What is the square root of 9790?
About 98.9444.
Is 9790 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9790?
It is a composite number with 16 divisors.