The number 80008
80008 is a palindrome: it reads 80008 backwards too. Its prime factorisation is × 73 × 137. Divisors (16): 1, 2, 4, 8, 73, 137, 146, 274, 292, 548, 584, 1096, 10001, 20002, 40004, 80008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80008: a palindrome: it reads 80008 backwards too.
- 2
80008 is composite. Its prime factorisation is
- 3
The divisors add up to 153180; without 80008 itself that is 73172, so 80008 is deficient (73172 is less than 80008). Euler's totient φ(80008) = 39168 numbers up to 80008 share no factor with it.
- 4
The digits of 80008 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80008 = 2^{3} \times 73 \times 137 \]80008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 153180 |
| Euler totient φ(n) | 39168 |
| Square | 6401280064 |
| Cube | 512153615360512 |
| Square root | 282.856854 (= 2√20002) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0008 × |
80008 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and eight |
| Binary (base 2) | 10011100010001000 |
| Octal (base 8) | 234210 |
| Hexadecimal (base 16) | 13888 |
| Base 3 | 11001202021 |
| As time | 80008 seconds = 22 h 13 min 28 s |
Is 80008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80008 ÷ 2 = 40004) | 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 | Yes (80008 ÷ 4 = 20002) | 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 4) | 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 | Yes (80008 ÷ 8 = 10001) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80008 a prime number?
No. 80008 = × 73 × 137, so it is divisible by 2.
What are the factors of 80008?
1, 2, 4, 8, 73, 137, 146, 274, 292, 548, 584, 1096, 10001, 20002, 40004, 80008.
What is 80008 in binary?
10011100010001000 (hexadecimal 13888, octal 234210).
What is the square root of 80008?
About 282.8569, exactly 2√20002.
Is 80008 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 80008?
80008 is a palindrome: it reads 80008 backwards too.