The number 83829
83829 is a composite number with 4 divisors. Its prime factorisation is 3 × 27943. Divisors (4): 1, 3, 27943, 83829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83829: a semiprime: 3 × 27943, the product of two primes.
- 2
83829 is composite. Its prime factorisation is
- 3
The divisors add up to 111776; without 83829 itself that is 27947, so 83829 is deficient (27947 is less than 83829). Euler's totient φ(83829) = 55884 numbers up to 83829 share no factor with it.
- 4
The digits of 83829 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83829 = 3 \times 27943 \]
83829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 111776 |
| Euler totient φ(n) | 55884 |
| Square | 7027301241 |
| Cube | 589091635731789 |
| Square root | 289.532382 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3829 × |
83829 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and twenty-nine |
| Binary (base 2) | 10100011101110101 |
| Octal (base 8) | 243565 |
| Hexadecimal (base 16) | 14775 |
| Base 3 | 11020222210 |
| As time | 83829 seconds = 23 h 17 min 9 s |
Is 83829 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 | Yes (83829 ÷ 3 = 27943) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83829 a prime number?
No. 83829 = 3 × 27943, so it is divisible by 3.
What are the factors of 83829?
1, 3, 27943, 83829.
What is 83829 in binary?
10100011101110101 (hexadecimal 14775, octal 243565).
What is the square root of 83829?
About 289.5324.
Is 83829 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 83829?
83829 is a semiprime: 3 × 27943, the product of two primes.