The number 80504
80504 is a composite number with 16 divisors. Its prime factorisation is × 29 × 347. Divisors (16): 1, 2, 4, 8, 29, 58, 116, 232, 347, 694, 1388, 2776, 10063, 20126, 40252, 80504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80504 is composite. Its prime factorisation is
- 3
The divisors add up to 156600; without 80504 itself that is 76096, so 80504 is deficient (76096 is less than 80504). Euler's totient φ(80504) = 38752 numbers up to 80504 share no factor with it.
- 4
The digits of 80504 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80504 = 2^{3} \times 29 \times 347 \]80504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156600 |
| Euler totient φ(n) | 38752 |
| Square | 6480894016 |
| Cube | 521737891864064 |
| Square root | 283.732268 (= 2√20126) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0504 × |
80504 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand five hundred and four |
| Binary (base 2) | 10011101001111000 |
| Octal (base 8) | 235170 |
| Hexadecimal (base 16) | 13A78 |
| Base 3 | 11002102122 |
| As time | 80504 seconds = 22 h 21 min 44 s |
Is 80504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80504 ÷ 2 = 40252) | 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 (80504 ÷ 4 = 20126) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (80504 ÷ 8 = 10063) | 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 4) | 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 80504 a prime number?
No. 80504 = × 29 × 347, so it is divisible by 2.
What are the factors of 80504?
1, 2, 4, 8, 29, 58, 116, 232, 347, 694, 1388, 2776, 10063, 20126, 40252, 80504.
What is 80504 in binary?
10011101001111000 (hexadecimal 13A78, octal 235170).
What is the square root of 80504?
About 283.7323, exactly 2√20126.
Is 80504 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80504?
It is a composite number with 16 divisors.