The number 10829
10829 is a composite number with 12 divisors. Its prime factorisation is × 13 × 17. Divisors (12): 1, 7, 13, 17, 49, 91, 119, 221, 637, 833, 1547, 10829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10829 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10829 is composite. Its prime factorisation is
- 3
The divisors add up to 14364; without 10829 itself that is 3535, so 10829 is deficient (3535 is less than 10829). Euler's totient φ(10829) = 8064 numbers up to 10829 share no factor with it.
- 4
The digits of 10829 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10829 = 7^{2} \times 13 \times 17 \]10829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14364 |
| Euler totient φ(n) | 8064 |
| Square | 117267241 |
| Cube | 1269886952789 |
| Square root | 104.062481 (= 7√221) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0829 × |
10829 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and twenty-nine |
| Binary (base 2) | 10101001001101 |
| Octal (base 8) | 25115 |
| Hexadecimal (base 16) | 2A4D |
| Base 3 | 112212002 |
| As time | 10829 seconds = 3 h 0 min 29 s |
Is 10829 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 | Yes (10829 ÷ 7 = 1547) | 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 2) | 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 5) | 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 10829 a prime number?
No. 10829 = × 13 × 17, so it is divisible by 7.
What are the factors of 10829?
1, 7, 13, 17, 49, 91, 119, 221, 637, 833, 1547, 10829.
What is 10829 in binary?
10101001001101 (hexadecimal 2A4D, octal 25115).
What is the square root of 10829?
About 104.0625, exactly 7√221.
Is 10829 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 10829?
It is a composite number with 12 divisors.