The number 80508
80508 is a palindrome: it reads 80508 backwards too. Its prime factorisation is × 3 × 6709. Divisors (12): 1, 2, 3, 4, 6, 12, 6709, 13418, 20127, 26836, 40254, 80508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80508: a palindrome: it reads 80508 backwards too.
- 2
80508 is composite. Its prime factorisation is
- 3
The divisors add up to 187880; without 80508 itself that is 107372, so 80508 is abundant (107372 is more than 80508). Euler's totient φ(80508) = 26832 numbers up to 80508 share no factor with it.
- 4
The digits of 80508 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80508 = 2^{2} \times 3 \times 6709 \]80508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 187880 |
| Euler totient φ(n) | 26832 |
| Square | 6481538064 |
| Cube | 521815666456512 |
| Square root | 283.739317 (= 2√20127) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0508 × |
80508 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand five hundred and eight |
| Binary (base 2) | 10011101001111100 |
| Octal (base 8) | 235174 |
| Hexadecimal (base 16) | 13A7C |
| Base 3 | 11002102210 |
| As time | 80508 seconds = 22 h 21 min 48 s |
Is 80508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80508 ÷ 2 = 40254) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80508 ÷ 3 = 26836) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80508 ÷ 4 = 20127) | 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 | Yes (80508 ÷ 6 = 13418) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80508 ÷ 12 = 6709) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80508 a prime number?
No. 80508 = × 3 × 6709, so it is divisible by 2.
What are the factors of 80508?
1, 2, 3, 4, 6, 12, 6709, 13418, 20127, 26836, 40254, 80508.
What is 80508 in binary?
10011101001111100 (hexadecimal 13A7C, octal 235174).
What is the square root of 80508?
About 283.7393, exactly 2√20127.
Is 80508 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80508?
80508 is a palindrome: it reads 80508 backwards too.