The number 80108
80108 is a palindrome: it reads 80108 backwards too. Its prime factorisation is × 7 × 2861. Divisors (12): 1, 2, 4, 7, 14, 28, 2861, 5722, 11444, 20027, 40054, 80108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80108: a palindrome: it reads 80108 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80108 is composite. Its prime factorisation is
- 3
The divisors add up to 160272; without 80108 itself that is 80164, so 80108 is abundant (80164 is more than 80108). Euler's totient φ(80108) = 34320 numbers up to 80108 share no factor with it.
- 4
The digits of 80108 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80108 = 2^{2} \times 7 \times 2861 \]80108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 160272 |
| Euler totient φ(n) | 34320 |
| Square | 6417291664 |
| Cube | 514076400619712 |
| Square root | 283.033567 (= 2√20027) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0108 × |
80108 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and eight |
| Binary (base 2) | 10011100011101100 |
| Octal (base 8) | 234354 |
| Hexadecimal (base 16) | 138EC |
| Base 3 | 11001212222 |
| As time | 80108 seconds = 22 h 15 min 8 s |
Is 80108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80108 ÷ 2 = 40054) | 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 | Yes (80108 ÷ 4 = 20027) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80108 ÷ 7 = 11444) | 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 8) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80108 a prime number?
No. 80108 = × 7 × 2861, so it is divisible by 2.
What are the factors of 80108?
1, 2, 4, 7, 14, 28, 2861, 5722, 11444, 20027, 40054, 80108.
What is 80108 in binary?
10011100011101100 (hexadecimal 138EC, octal 234354).
What is the square root of 80108?
About 283.0336, exactly 2√20027.
Is 80108 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80108?
80108 is a palindrome: it reads 80108 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.