The number 20727
20727 is a composite number with 18 divisors. Its prime factorisation is × × 47. Divisors (18): 1, 3, 7, 9, 21, 47, 49, 63, 141, 147, 329, 423, 441, 987, 2303, 2961 … 20727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20727 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20727 is composite. Its prime factorisation is
- 3
The divisors add up to 35568; without 20727 itself that is 14841, so 20727 is deficient (14841 is less than 20727). Euler's totient φ(20727) = 11592 numbers up to 20727 share no factor with it.
- 4
The digits of 20727 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20727 = 3^{2} \times 7^{2} \times 47 \]20727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 35568 |
| Euler totient φ(n) | 11592 |
| Square | 429608529 |
| Cube | 8904495980583 |
| Square root | 143.968747 (= 21√47) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.0727 × |
20727 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and twenty-seven |
| Binary (base 2) | 101000011110111 |
| Octal (base 8) | 50367 |
| Hexadecimal (base 16) | 50F7 |
| Base 3 | 1001102200 |
| As time | 20727 seconds = 5 h 45 min 27 s |
Is 20727 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 (20727 ÷ 3 = 6909) | 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 2) | 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 (20727 ÷ 7 = 2961) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (20727 ÷ 9 = 2303) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20727 a prime number?
No. 20727 = × × 47, so it is divisible by 3.
What are the factors of 20727?
1, 3, 7, 9, 21, 47, 49, 63, 141, 147, 329, 423, 441, 987, 2303, 2961, 6909, 20727.
What is 20727 in binary?
101000011110111 (hexadecimal 50F7, octal 50367).
What is the square root of 20727?
About 143.9687, exactly 21√47.
Is 20727 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 20727?
It is a composite number with 18 divisors.