The number 80006
80006 is a composite number with 8 divisors. Its prime factorisation is 2 × 109 × 367. Divisors (8): 1, 2, 109, 218, 367, 734, 40003, 80006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80006: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80006 is composite. Its prime factorisation is
- 3
The divisors add up to 121440; without 80006 itself that is 41434, so 80006 is deficient (41434 is less than 80006). Euler's totient φ(80006) = 39528 numbers up to 80006 share no factor with it.
- 4
The digits of 80006 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80006 = 2 \times 109 \times 367 \]
80006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 121440 |
| Euler totient φ(n) | 39528 |
| Square | 6400960036 |
| Cube | 512115208640216 |
| Square root | 282.853319 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0006 × |
80006 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and six |
| Binary (base 2) | 10011100010000110 |
| Octal (base 8) | 234206 |
| Hexadecimal (base 16) | 13886 |
| Base 3 | 11001202012 |
| As time | 80006 seconds = 22 h 13 min 26 s |
Is 80006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80006 ÷ 2 = 40003) | 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 | 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 5) | 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 3) | 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 80006 a prime number?
No. 80006 = 2 × 109 × 367, so it is divisible by 2.
What are the factors of 80006?
1, 2, 109, 218, 367, 734, 40003, 80006.
What is 80006 in binary?
10011100010000110 (hexadecimal 13886, octal 234206).
What is the square root of 80006?
About 282.8533.
Is 80006 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 80006?
80006 is a happy number: repeatedly adding the squares of its digits reaches 1.