The number 80509
80509 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 563. Divisors (8): 1, 11, 13, 143, 563, 6193, 7319, 80509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80509 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80509 is composite. Its prime factorisation is
- 3
The divisors add up to 94752; without 80509 itself that is 14243, so 80509 is deficient (14243 is less than 80509). Euler's totient φ(80509) = 67440 numbers up to 80509 share no factor with it.
- 4
The digits of 80509 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80509 = 11 \times 13 \times 563 \]
80509 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 94752 |
| Euler totient φ(n) | 67440 |
| Square | 6481699081 |
| Cube | 521835111312229 |
| Square root | 283.741079 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0509 × |
80509 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand five hundred and nine |
| Binary (base 2) | 10011101001111101 |
| Octal (base 8) | 235175 |
| Hexadecimal (base 16) | 13A7D |
| Base 3 | 11002102211 |
| As time | 80509 seconds = 22 h 21 min 49 s |
Is 80509 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80509 ÷ 11 = 7319) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80509 a prime number?
No. 80509 = 11 × 13 × 563, so it is divisible by 11.
What are the factors of 80509?
1, 11, 13, 143, 563, 6193, 7319, 80509.
What is 80509 in binary?
10011101001111101 (hexadecimal 13A7D, octal 235175).
What is the square root of 80509?
About 283.7411.
Is 80509 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 80509?
It is a composite number with 8 divisors.