The number 80808
80808 is a palindrome: it reads 80808 backwards too. Its prime factorisation is × 3 × 7 × 13 × 37. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 37, 39 … 80808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80808: a palindrome: it reads 80808 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
80808 is composite. Its prime factorisation is
- 3
The divisors add up to 255360; without 80808 itself that is 174552, so 80808 is abundant (174552 is more than 80808). Euler's totient φ(80808) = 20736 numbers up to 80808 share no factor with it.
- 4
The digits of 80808 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80808 = 2^{3} \times 3 \times 7 \times 13 \times 37 \]80808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 255360 |
| Euler totient φ(n) | 20736 |
| Square | 6529932864 |
| Cube | 527670814874112 |
| Square root | 284.267480 (= 2√20202) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0808 × |
80808 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and eight |
| Binary (base 2) | 10011101110101000 |
| Octal (base 8) | 235650 |
| Hexadecimal (base 16) | 13BA8 |
| Base 3 | 11002211220 |
| As time | 80808 seconds = 22 h 26 min 48 s |
Is 80808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80808 ÷ 2 = 40404) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80808 ÷ 3 = 26936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80808 ÷ 4 = 20202) | 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 (80808 ÷ 6 = 13468) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80808 ÷ 7 = 11544) | 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 (80808 ÷ 8 = 10101) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80808 ÷ 12 = 6734) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80808 a prime number?
No. 80808 = × 3 × 7 × 13 × 37, so it is divisible by 2.
What are the factors of 80808?
1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 37, 39, 42, 52, 56, 74, 78, 84, 91, 104, 111, 148, 156, 168, 182, 222, 259, 273, 296, 312, 364, 444, 481, 518, 546, 728, 777, 888, 962, 1036, 1092, 1443, 1554, 1924, 2072, 2184, 2886, 3108, 3367, 3848, 5772, 6216, 6734, 10101, 11544, 13468, 20202, 26936, 40404, 80808.
What is 80808 in binary?
10011101110101000 (hexadecimal 13BA8, octal 235650).
What is the square root of 80808?
About 284.2675, exactly 2√20202.
Is 80808 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 80808?
80808 is a palindrome: it reads 80808 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.