The number 20683
20683 is a taxicab number: it is the sum of two cubes in 2 ways (10³ + 27³ and 19³ + 24³). Its prime factorisation is 13 × 37 × 43. Divisors (8): 1, 13, 37, 43, 481, 559, 1591, 20683.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20683: a taxicab number: it is the sum of two cubes in 2 ways (10³ + 27³ and 19³ + 24³).
- 2
20683 is composite. Its prime factorisation is
- 3
The divisors add up to 23408; without 20683 itself that is 2725, so 20683 is deficient (2725 is less than 20683). Euler's totient φ(20683) = 18144 numbers up to 20683 share no factor with it.
- 4
The digits of 20683 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 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20683 = 13 \times 37 \times 43 \]
20683 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23408 |
| Euler totient φ(n) | 18144 |
| Square | 427786489 |
| Cube | 8847907951987 |
| Square root | 143.815854 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.0683 × |
20683 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand six hundred and eighty-three |
| Binary (base 2) | 101000011001011 |
| Octal (base 8) | 50313 |
| Hexadecimal (base 16) | 50CB |
| Base 3 | 1001101001 |
| As time | 20683 seconds = 5 h 44 min 43 s |
Is 20683 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 | No (remainder 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20683 a prime number?
No. 20683 = 13 × 37 × 43, so it is divisible by 13.
What are the factors of 20683?
1, 13, 37, 43, 481, 559, 1591, 20683.
What is 20683 in binary?
101000011001011 (hexadecimal 50CB, octal 50313).
What is the square root of 20683?
About 143.8159.
Is 20683 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 20683?
20683 is a taxicab number: it is the sum of two cubes in 2 ways (10³ + 27³ and 19³ + 24³).