The number 80404
80404 is a composite number with 6 divisors. Its prime factorisation is × 20101. Divisors (6): 1, 2, 4, 20101, 40202, 80404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80404 is composite. Its prime factorisation is
- 3
The divisors add up to 140714; without 80404 itself that is 60310, so 80404 is deficient (60310 is less than 80404). Euler's totient φ(80404) = 40200 numbers up to 80404 share no factor with it.
- 4
The digits of 80404 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80404 = 2^{2} \times 20101 \]80404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 140714 |
| Euler totient φ(n) | 40200 |
| Square | 6464803216 |
| Cube | 519796037779264 |
| Square root | 283.555991 (= 2√20101) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0404 × |
80404 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and four |
| Binary (base 2) | 10011101000010100 |
| Octal (base 8) | 235024 |
| Hexadecimal (base 16) | 13A14 |
| Base 3 | 11002021221 |
| As time | 80404 seconds = 22 h 20 min 4 s |
Is 80404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80404 ÷ 2 = 40202) | 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 (80404 ÷ 4 = 20101) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 80404 a prime number?
No. 80404 = × 20101, so it is divisible by 2.
What are the factors of 80404?
1, 2, 4, 20101, 40202, 80404.
What is 80404 in binary?
10011101000010100 (hexadecimal 13A14, octal 235024).
What is the square root of 80404?
About 283.5560, exactly 2√20101.
Is 80404 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 80404?
It is a composite number with 6 divisors.