The number 20835
20835 is a composite number with 12 divisors. Its prime factorisation is × 5 × 463. Divisors (12): 1, 3, 5, 9, 15, 45, 463, 1389, 2315, 4167, 6945, 20835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20835 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20835 is composite. Its prime factorisation is
- 3
The divisors add up to 36192; without 20835 itself that is 15357, so 20835 is deficient (15357 is less than 20835). Euler's totient φ(20835) = 11088 numbers up to 20835 share no factor with it.
- 4
The digits of 20835 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20835 = 3^{2} \times 5 \times 463 \]20835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36192 |
| Euler totient φ(n) | 11088 |
| Square | 434097225 |
| Cube | 9044415682875 |
| Square root | 144.343341 (= 3√2315) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.0835 × |
20835 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand eight hundred and thirty-five |
| Binary (base 2) | 101000101100011 |
| Octal (base 8) | 50543 |
| Hexadecimal (base 16) | 5163 |
| Base 3 | 1001120200 |
| As time | 20835 seconds = 5 h 47 min 15 s |
Is 20835 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 (20835 ÷ 3 = 6945) | 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 | Yes (20835 ÷ 5 = 4167) | 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 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 | Yes (20835 ÷ 9 = 2315) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 20835 a prime number?
No. 20835 = × 5 × 463, so it is divisible by 3.
What are the factors of 20835?
1, 3, 5, 9, 15, 45, 463, 1389, 2315, 4167, 6945, 20835.
What is 20835 in binary?
101000101100011 (hexadecimal 5163, octal 50543).
What is the square root of 20835?
About 144.3433, exactly 3√2315.
Is 20835 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 20835?
It is a composite number with 12 divisors.