The number 83809
83809 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 401. Divisors (8): 1, 11, 19, 209, 401, 4411, 7619, 83809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83809 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83809 is composite. Its prime factorisation is
- 3
The divisors add up to 96480; without 83809 itself that is 12671, so 83809 is deficient (12671 is less than 83809). Euler's totient φ(83809) = 72000 numbers up to 83809 share no factor with it.
- 4
The digits of 83809 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83809 = 11 \times 19 \times 401 \]
83809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 96480 |
| Euler totient φ(n) | 72000 |
| Square | 7023948481 |
| Cube | 588670098244129 |
| Square root | 289.497841 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.3809 × |
83809 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and nine |
| Binary (base 2) | 10100011101100001 |
| Octal (base 8) | 243541 |
| Hexadecimal (base 16) | 14761 |
| Base 3 | 11020222001 |
| As time | 83809 seconds = 23 h 16 min 49 s |
Is 83809 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 (83809 ÷ 11 = 7619) | 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 83809 a prime number?
No. 83809 = 11 × 19 × 401, so it is divisible by 11.
What are the factors of 83809?
1, 11, 19, 209, 401, 4411, 7619, 83809.
What is 83809 in binary?
10100011101100001 (hexadecimal 14761, octal 243541).
What is the square root of 83809?
About 289.4978.
Is 83809 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 83809?
It is a composite number with 8 divisors.