The number 20367
20367 is a composite number with 12 divisors. Its prime factorisation is × 31 × 73. Divisors (12): 1, 3, 9, 31, 73, 93, 219, 279, 657, 2263, 6789, 20367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20367 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20367 is composite. Its prime factorisation is
- 3
The divisors add up to 30784; without 20367 itself that is 10417, so 20367 is deficient (10417 is less than 20367). Euler's totient φ(20367) = 12960 numbers up to 20367 share no factor with it.
- 4
The digits of 20367 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20367 = 3^{2} \times 31 \times 73 \]20367 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30784 |
| Euler totient φ(n) | 12960 |
| Square | 414814689 |
| Cube | 8448530770863 |
| Square root | 142.712999 (= 3√2263) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.0367 × |
20367 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand three hundred and sixty-seven |
| Binary (base 2) | 100111110001111 |
| Octal (base 8) | 47617 |
| Hexadecimal (base 16) | 4F8F |
| Base 3 | 1000221100 |
| As time | 20367 seconds = 5 h 39 min 27 s |
Is 20367 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 (20367 ÷ 3 = 6789) | 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 | No (remainder 4) | 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 (20367 ÷ 9 = 2263) | 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 6) | 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 20367 a prime number?
No. 20367 = × 31 × 73, so it is divisible by 3.
What are the factors of 20367?
1, 3, 9, 31, 73, 93, 219, 279, 657, 2263, 6789, 20367.
What is 20367 in binary?
100111110001111 (hexadecimal 4F8F, octal 47617).
What is the square root of 20367?
About 142.7130, exactly 3√2263.
Is 20367 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 20367?
It is a composite number with 12 divisors.