The number 8723
8723 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 61. Divisors (8): 1, 11, 13, 61, 143, 671, 793, 8723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8723 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8723 is composite. Its prime factorisation is
- 3
The divisors add up to 10416; without 8723 itself that is 1693, so 8723 is deficient (1693 is less than 8723). Euler's totient φ(8723) = 7200 numbers up to 8723 share no factor with it.
- 4
The digits of 8723 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8723 = 11 \times 13 \times 61 \]
8723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10416 |
| Euler totient φ(n) | 7200 |
| Square | 76090729 |
| Cube | 663739429067 |
| Square root | 93.397002 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.723 × |
8723 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and twenty-three |
| Binary (base 2) | 10001000010011 |
| Octal (base 8) | 21023 |
| Hexadecimal (base 16) | 2213 |
| Base 3 | 102222002 |
| As time | 8723 seconds = 2 h 25 min 23 s |
Is 8723 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 | Yes (8723 ÷ 11 = 793) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8723 a prime number?
No. 8723 = 11 × 13 × 61, so it is divisible by 11.
What are the factors of 8723?
1, 11, 13, 61, 143, 671, 793, 8723.
What is 8723 in binary?
10001000010011 (hexadecimal 2213, octal 21023).
What is the square root of 8723?
About 93.3970.
Is 8723 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8723?
It is a composite number with 8 divisors.