The number 20723
20723 is a composite number with 8 divisors. Its prime factorisation is 17 × 23 × 53. Divisors (8): 1, 17, 23, 53, 391, 901, 1219, 20723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20723 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20723 is composite. Its prime factorisation is
- 3
The divisors add up to 23328; without 20723 itself that is 2605, so 20723 is deficient (2605 is less than 20723). Euler's totient φ(20723) = 18304 numbers up to 20723 share no factor with it.
- 4
The digits of 20723 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20723 = 17 \times 23 \times 53 \]
20723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23328 |
| Euler totient φ(n) | 18304 |
| Square | 429442729 |
| Cube | 8899341673067 |
| Square root | 143.954854 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.0723 × |
20723 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and twenty-three |
| Binary (base 2) | 101000011110011 |
| Octal (base 8) | 50363 |
| Hexadecimal (base 16) | 50F3 |
| Base 3 | 1001102112 |
| As time | 20723 seconds = 5 h 45 min 23 s |
Is 20723 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 3) | 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20723 a prime number?
No. 20723 = 17 × 23 × 53, so it is divisible by 17.
What are the factors of 20723?
1, 17, 23, 53, 391, 901, 1219, 20723.
What is 20723 in binary?
101000011110011 (hexadecimal 50F3, octal 50363).
What is the square root of 20723?
About 143.9549.
Is 20723 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 20723?
It is a composite number with 8 divisors.