The number 80584
80584 is a composite number with 16 divisors. Its prime factorisation is × 7 × 1439. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1439, 2878, 5756, 10073, 11512, 20146, 40292, 80584.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80584 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80584 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 80584 itself that is 92216, so 80584 is abundant (92216 is more than 80584). Euler's totient φ(80584) = 34512 numbers up to 80584 share no factor with it.
- 4
The digits of 80584 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80584 = 2^{3} \times 7 \times 1439 \]80584 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 34512 |
| Square | 6493781056 |
| Cube | 523294852616704 |
| Square root | 283.873211 (= 2√20146) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0584 × |
80584 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand five hundred and eighty-four |
| Binary (base 2) | 10011101011001000 |
| Octal (base 8) | 235310 |
| Hexadecimal (base 16) | 13AC8 |
| Base 3 | 11002112121 |
| As time | 80584 seconds = 22 h 23 min 4 s |
Is 80584 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80584 ÷ 2 = 40292) | 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 (80584 ÷ 4 = 20146) | 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 | Yes (80584 ÷ 7 = 11512) | 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 (80584 ÷ 8 = 10073) | 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 9) | 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 80584 a prime number?
No. 80584 = × 7 × 1439, so it is divisible by 2.
What are the factors of 80584?
1, 2, 4, 7, 8, 14, 28, 56, 1439, 2878, 5756, 10073, 11512, 20146, 40292, 80584.
What is 80584 in binary?
10011101011001000 (hexadecimal 13AC8, octal 235310).
What is the square root of 80584?
About 283.8732, exactly 2√20146.
Is 80584 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80584?
It is a composite number with 16 divisors.