The number 80908
80908 is a palindrome: it reads 80908 backwards too. Its prime factorisation is × 113 × 179. Divisors (12): 1, 2, 4, 113, 179, 226, 358, 452, 716, 20227, 40454, 80908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80908: a palindrome: it reads 80908 backwards too.
- 2
80908 is composite. Its prime factorisation is
- 3
The divisors add up to 143640; without 80908 itself that is 62732, so 80908 is deficient (62732 is less than 80908). Euler's totient φ(80908) = 39872 numbers up to 80908 share no factor with it.
- 4
The digits of 80908 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80908 = 2^{2} \times 113 \times 179 \]80908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 143640 |
| Euler totient φ(n) | 39872 |
| Square | 6546104464 |
| Cube | 529632219973312 |
| Square root | 284.443316 (= 2√20227) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0908 × |
80908 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and eight |
| Binary (base 2) | 10011110000001100 |
| Octal (base 8) | 236014 |
| Hexadecimal (base 16) | 13C0C |
| Base 3 | 11002222121 |
| As time | 80908 seconds = 22 h 28 min 28 s |
Is 80908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80908 ÷ 2 = 40454) | 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 (80908 ÷ 4 = 20227) | 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 2) | 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 4) | 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 3) | 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 80908 a prime number?
No. 80908 = × 113 × 179, so it is divisible by 2.
What are the factors of 80908?
1, 2, 4, 113, 179, 226, 358, 452, 716, 20227, 40454, 80908.
What is 80908 in binary?
10011110000001100 (hexadecimal 13C0C, octal 236014).
What is the square root of 80908?
About 284.4433, exactly 2√20227.
Is 80908 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80908?
80908 is a palindrome: it reads 80908 backwards too.