The number 20006
20006 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 1429. Divisors (8): 1, 2, 7, 14, 1429, 2858, 10003, 20006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20006 is composite. Its prime factorisation is
- 3
The divisors add up to 34320; without 20006 itself that is 14314, so 20006 is deficient (14314 is less than 20006). Euler's totient φ(20006) = 8568 numbers up to 20006 share no factor with it.
- 4
The digits of 20006 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20006 = 2 \times 7 \times 1429 \]
20006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34320 |
| Euler totient φ(n) | 8568 |
| Square | 400240036 |
| Cube | 8007202160216 |
| Square root | 141.442568 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 2.0006 × |
20006 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and six |
| Binary (base 2) | 100111000100110 |
| Octal (base 8) | 47046 |
| Hexadecimal (base 16) | 4E26 |
| Base 3 | 1000102222 |
| As time | 20006 seconds = 5 h 33 min 26 s |
Is 20006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20006 ÷ 2 = 10003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (20006 ÷ 7 = 2858) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20006 a prime number?
No. 20006 = 2 × 7 × 1429, so it is divisible by 2.
What are the factors of 20006?
1, 2, 7, 14, 1429, 2858, 10003, 20006.
What is 20006 in binary?
100111000100110 (hexadecimal 4E26, octal 47046).
What is the square root of 20006?
About 141.4426.
Is 20006 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 20006?
It is a composite number with 8 divisors.