The number 83309
83309 is a composite number with 4 divisors. Its prime factorisation is 227 × 367. Divisors (4): 1, 227, 367, 83309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83309: a semiprime: 227 × 367, the product of two primes.
- 2
83309 is composite. Its prime factorisation is
- 3
The divisors add up to 83904; without 83309 itself that is 595, so 83309 is deficient (595 is less than 83309). Euler's totient φ(83309) = 82716 numbers up to 83309 share no factor with it.
- 4
The digits of 83309 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83309 = 227 \times 367 \]
83309 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83904 |
| Euler totient φ(n) | 82716 |
| Square | 6940389481 |
| Cube | 578196907272629 |
| Square root | 288.632985 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3309 × |
83309 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and nine |
| Binary (base 2) | 10100010101101101 |
| Octal (base 8) | 242555 |
| Hexadecimal (base 16) | 1456D |
| Base 3 | 11020021112 |
| As time | 83309 seconds = 23 h 8 min 29 s |
Is 83309 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 2) | 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 5) | 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 5) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83309 a prime number?
No. 83309 = 227 × 367, so it is divisible by 227.
What are the factors of 83309?
1, 227, 367, 83309.
What is 83309 in binary?
10100010101101101 (hexadecimal 1456D, octal 242555).
What is the square root of 83309?
About 288.6330.
Is 83309 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83309?
83309 is a semiprime: 227 × 367, the product of two primes.