The number 83329
83329 is a composite number with 4 divisors. Its prime factorisation is 23 × 3623. Divisors (4): 1, 23, 3623, 83329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83329: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 3623, the product of two primes.
- 2
83329 is composite. Its prime factorisation is
- 3
The divisors add up to 86976; without 83329 itself that is 3647, so 83329 is deficient (3647 is less than 83329). Euler's totient φ(83329) = 79684 numbers up to 83329 share no factor with it.
- 4
The digits of 83329 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 257 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83329 = 23 \times 3623 \]
83329 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 86976 |
| Euler totient φ(n) | 79684 |
| Square | 6943722241 |
| Cube | 578613430620289 |
| Square root | 288.667629 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 257 |
| Scientific notation | 8.3329 × |
83329 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and twenty-nine |
| Binary (base 2) | 10100010110000001 |
| Octal (base 8) | 242601 |
| Hexadecimal (base 16) | 14581 |
| Base 3 | 11020022021 |
| As time | 83329 seconds = 23 h 8 min 49 s |
Is 83329 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 1) | 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 7) | 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 4) | 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 83329 a prime number?
No. 83329 = 23 × 3623, so it is divisible by 23.
What are the factors of 83329?
1, 23, 3623, 83329.
What is 83329 in binary?
10100010110000001 (hexadecimal 14581, octal 242601).
What is the square root of 83329?
About 288.6676.
Is 83329 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 83329?
83329 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 3623, the product of two primes.