The number 20364
20364 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1697. Divisors (12): 1, 2, 3, 4, 6, 12, 1697, 3394, 5091, 6788, 10182, 20364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20364 is composite. Its prime factorisation is
- 3
The divisors add up to 47544; without 20364 itself that is 27180, so 20364 is abundant (27180 is more than 20364). Euler's totient φ(20364) = 6784 numbers up to 20364 share no factor with it.
- 4
The digits of 20364 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20364 = 2^{2} \times 3 \times 1697 \]20364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 47544 |
| Euler totient φ(n) | 6784 |
| Square | 414692496 |
| Cube | 8444797988544 |
| Square root | 142.702488 (= 2√5091) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.0364 × |
20364 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand three hundred and sixty-four |
| Binary (base 2) | 100111110001100 |
| Octal (base 8) | 47614 |
| Hexadecimal (base 16) | 4F8C |
| Base 3 | 1000221020 |
| As time | 20364 seconds = 5 h 39 min 24 s |
Is 20364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20364 ÷ 2 = 10182) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20364 ÷ 3 = 6788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20364 ÷ 4 = 5091) | 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 | Yes (20364 ÷ 6 = 3394) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20364 ÷ 12 = 1697) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20364 a prime number?
No. 20364 = × 3 × 1697, so it is divisible by 2.
What are the factors of 20364?
1, 2, 3, 4, 6, 12, 1697, 3394, 5091, 6788, 10182, 20364.
What is 20364 in binary?
100111110001100 (hexadecimal 4F8C, octal 47614).
What is the square root of 20364?
About 142.7025, exactly 2√5091.
Is 20364 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 20364?
It is a composite number with 12 divisors.