The number 80408
80408 is a palindrome: it reads 80408 backwards too. Its prime factorisation is × 19 × . Divisors (24): 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 529, 874, 1058 … 80408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80408: a palindrome: it reads 80408 backwards too.
- 2
80408 is composite. Its prime factorisation is
- 3
The divisors add up to 165900; without 80408 itself that is 85492, so 80408 is abundant (85492 is more than 80408). Euler's totient φ(80408) = 36432 numbers up to 80408 share no factor with it.
- 4
The digits of 80408 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80408 = 2^{3} \times 19 \times 23^{2} \]80408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 165900 |
| Euler totient φ(n) | 36432 |
| Square | 6465446464 |
| Cube | 519873619277312 |
| Square root | 283.563044 (= 46√38) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0408 × |
80408 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and eight |
| Binary (base 2) | 10011101000011000 |
| Octal (base 8) | 235030 |
| Hexadecimal (base 16) | 13A18 |
| Base 3 | 11002022002 |
| As time | 80408 seconds = 22 h 20 min 8 s |
Is 80408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80408 ÷ 2 = 40204) | 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 (80408 ÷ 4 = 20102) | 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 | No (remainder 6) | 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 (80408 ÷ 8 = 10051) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 80408 a prime number?
No. 80408 = × 19 × , so it is divisible by 2.
What are the factors of 80408?
1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 529, 874, 1058, 1748, 2116, 3496, 4232, 10051, 20102, 40204, 80408.
What is 80408 in binary?
10011101000011000 (hexadecimal 13A18, octal 235030).
What is the square root of 80408?
About 283.5630, exactly 46√38.
Is 80408 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 80408?
80408 is a palindrome: it reads 80408 backwards too.