The number 9722
9722 is a composite number with 4 divisors. Its prime factorisation is 2 × 4861. Divisors (4): 1, 2, 4861, 9722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9722: a semiprime: 2 × 4861, the product of two primes.
- 2
9722 is composite. Its prime factorisation is
- 3
The divisors add up to 14586; without 9722 itself that is 4864, so 9722 is deficient (4864 is less than 9722). Euler's totient φ(9722) = 4860 numbers up to 9722 share no factor with it.
- 4
The digits of 9722 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9722 = 2 \times 4861 \]
9722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14586 |
| Euler totient φ(n) | 4860 |
| Square | 94517284 |
| Cube | 918897035048 |
| Square root | 98.600203 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.722 × |
9722 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and twenty-two |
| Binary (base 2) | 10010111111010 |
| Octal (base 8) | 22772 |
| Hexadecimal (base 16) | 25FA |
| Base 3 | 111100002 |
| As time | 9722 seconds = 2 h 42 min 2 s |
Is 9722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9722 ÷ 2 = 4861) | 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 | No (remainder 2) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9722 a prime number?
No. 9722 = 2 × 4861, so it is divisible by 2.
What are the factors of 9722?
1, 2, 4861, 9722.
What is 9722 in binary?
10010111111010 (hexadecimal 25FA, octal 22772).
What is the square root of 9722?
About 98.6002.
Is 9722 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9722?
9722 is a semiprime: 2 × 4861, the product of two primes.