The number 20764
20764 is a composite number with 12 divisors. Its prime factorisation is × 29 × 179. Divisors (12): 1, 2, 4, 29, 58, 116, 179, 358, 716, 5191, 10382, 20764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20764 is composite. Its prime factorisation is
- 3
The divisors add up to 37800; without 20764 itself that is 17036, so 20764 is deficient (17036 is less than 20764). Euler's totient φ(20764) = 9968 numbers up to 20764 share no factor with it.
- 4
The digits of 20764 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20764 = 2^{2} \times 29 \times 179 \]20764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 37800 |
| Euler totient φ(n) | 9968 |
| Square | 431143696 |
| Cube | 8952267703744 |
| Square root | 144.097189 (= 2√5191) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.0764 × |
20764 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and sixty-four |
| Binary (base 2) | 101000100011100 |
| Octal (base 8) | 50434 |
| Hexadecimal (base 16) | 511C |
| Base 3 | 1001111001 |
| As time | 20764 seconds = 5 h 46 min 4 s |
Is 20764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20764 ÷ 2 = 10382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20764 ÷ 4 = 5191) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20764 a prime number?
No. 20764 = × 29 × 179, so it is divisible by 2.
What are the factors of 20764?
1, 2, 4, 29, 58, 116, 179, 358, 716, 5191, 10382, 20764.
What is 20764 in binary?
101000100011100 (hexadecimal 511C, octal 50434).
What is the square root of 20764?
About 144.0972, exactly 2√5191.
Is 20764 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 20764?
It is a composite number with 12 divisors.