The number 8829
8829 is a composite number with 10 divisors. Its prime factorisation is × 109. Divisors (10): 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8829: a Harshad number: divisible by its digit sum 27.
- 2
8829 is composite. Its prime factorisation is
- 3
The divisors add up to 13310; without 8829 itself that is 4481, so 8829 is deficient (4481 is less than 8829). Euler's totient φ(8829) = 5832 numbers up to 8829 share no factor with it.
- 4
The digits of 8829 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8829 = 3^{4} \times 109 \]8829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 13310 |
| Euler totient φ(n) | 5832 |
| Square | 77951241 |
| Cube | 688231506789 |
| Square root | 93.962759 (= 9√109) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 171 |
| Scientific notation | 8.829 × |
8829 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and twenty-nine |
| Binary (base 2) | 10001001111101 |
| Octal (base 8) | 21175 |
| Hexadecimal (base 16) | 227D |
| Base 3 | 110010000 |
| As time | 8829 seconds = 2 h 27 min 9 s |
Is 8829 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 (8829 ÷ 3 = 2943) | 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 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 | Yes (8829 ÷ 9 = 981) | 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 7) | 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 8829 a prime number?
No. 8829 = × 109, so it is divisible by 3.
What are the factors of 8829?
1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829.
What is 8829 in binary?
10001001111101 (hexadecimal 227D, octal 21175).
What is the square root of 8829?
About 93.9628, exactly 9√109.
Is 8829 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8829?
8829 is a Harshad number: divisible by its digit sum 27.