The number 9723
9723 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 463. Divisors (8): 1, 3, 7, 21, 463, 1389, 3241, 9723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9723: a Harshad number: divisible by its digit sum 21.
- 2
9723 is composite. Its prime factorisation is
- 3
The divisors add up to 14848; without 9723 itself that is 5125, so 9723 is deficient (5125 is less than 9723). Euler's totient φ(9723) = 5544 numbers up to 9723 share no factor with it.
- 4
The digits of 9723 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9723 = 3 \times 7 \times 463 \]
9723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14848 |
| Euler totient φ(n) | 5544 |
| Square | 94536729 |
| Cube | 919180616067 |
| Square root | 98.605274 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 9.723 × |
9723 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and twenty-three |
| Binary (base 2) | 10010111111011 |
| Octal (base 8) | 22773 |
| Hexadecimal (base 16) | 25FB |
| Base 3 | 111100010 |
| As time | 9723 seconds = 2 h 42 min 3 s |
Is 9723 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 (9723 ÷ 3 = 3241) | 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 3) | 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 | Yes (9723 ÷ 7 = 1389) | 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 3) | 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 10) | 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 9723 a prime number?
No. 9723 = 3 × 7 × 463, so it is divisible by 3.
What are the factors of 9723?
1, 3, 7, 21, 463, 1389, 3241, 9723.
What is 9723 in binary?
10010111111011 (hexadecimal 25FB, octal 22773).
What is the square root of 9723?
About 98.6053.
Is 9723 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9723?
9723 is a Harshad number: divisible by its digit sum 21.