The number 9793
9793 is a composite number with 4 divisors. Its prime factorisation is 7 × 1399. Divisors (4): 1, 7, 1399, 9793.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9793: a semiprime: 7 × 1399, the product of two primes.
- 2
9793 is composite. Its prime factorisation is
- 3
The divisors add up to 11200; without 9793 itself that is 1407, so 9793 is deficient (1407 is less than 9793). Euler's totient φ(9793) = 8388 numbers up to 9793 share no factor with it.
- 4
The digits of 9793 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9793 = 7 \times 1399 \]
9793 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11200 |
| Euler totient φ(n) | 8388 |
| Square | 95902849 |
| Cube | 939176600257 |
| Square root | 98.959588 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.793 × |
9793 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and ninety-three |
| Binary (base 2) | 10011001000001 |
| Octal (base 8) | 23101 |
| Hexadecimal (base 16) | 2641 |
| Base 3 | 111102201 |
| As time | 9793 seconds = 2 h 43 min 13 s |
Is 9793 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9793 ÷ 7 = 1399) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9793 a prime number?
No. 9793 = 7 × 1399, so it is divisible by 7.
What are the factors of 9793?
1, 7, 1399, 9793.
What is 9793 in binary?
10011001000001 (hexadecimal 2641, octal 23101).
What is the square root of 9793?
About 98.9596.
Is 9793 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9793?
9793 is a semiprime: 7 × 1399, the product of two primes.