The number 10006
10006 is a composite number with 4 divisors. Its prime factorisation is 2 × 5003. Divisors (4): 1, 2, 5003, 10006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10006: a semiprime: 2 × 5003, the product of two primes.
- 2
10006 is composite. Its prime factorisation is
- 3
The divisors add up to 15012; without 10006 itself that is 5006, so 10006 is deficient (5006 is less than 10006). Euler's totient φ(10006) = 5002 numbers up to 10006 share no factor with it.
- 4
The digits of 10006 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10006 = 2 \times 5003 \]
10006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15012 |
| Euler totient φ(n) | 5002 |
| Square | 100120036 |
| Cube | 1001801080216 |
| Square root | 100.029996 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 179 |
| Scientific notation | 1.0006 × |
10006 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and six |
| Binary (base 2) | 10011100010110 |
| Octal (base 8) | 23426 |
| Hexadecimal (base 16) | 2716 |
| Base 3 | 111201121 |
| As time | 10006 seconds = 2 h 46 min 46 s |
Is 10006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10006 ÷ 2 = 5003) | 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 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 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10006 a prime number?
No. 10006 = 2 × 5003, so it is divisible by 2.
What are the factors of 10006?
1, 2, 5003, 10006.
What is 10006 in binary?
10011100010110 (hexadecimal 2716, octal 23426).
What is the square root of 10006?
About 100.0300.
Is 10006 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10006?
10006 is a semiprime: 2 × 5003, the product of two primes.