The number 29829
29829 is a composite number with 8 divisors. Its prime factorisation is 3 × 61 × 163. Divisors (8): 1, 3, 61, 163, 183, 489, 9943, 29829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29829 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29829 is composite. Its prime factorisation is
- 3
The divisors add up to 40672; without 29829 itself that is 10843, so 29829 is deficient (10843 is less than 29829). Euler's totient φ(29829) = 19440 numbers up to 29829 share no factor with it.
- 4
The digits of 29829 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29829 = 3 \times 61 \times 163 \]
29829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40672 |
| Euler totient φ(n) | 19440 |
| Square | 889769241 |
| Cube | 26540926689789 |
| Square root | 172.710741 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9829 × |
29829 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and twenty-nine |
| Binary (base 2) | 111010010000101 |
| Octal (base 8) | 72205 |
| Hexadecimal (base 16) | 7485 |
| Base 3 | 1111220210 |
| As time | 29829 seconds = 8 h 17 min 9 s |
Is 29829 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 (29829 ÷ 3 = 9943) | 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 | 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 8) | 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 29829 a prime number?
No. 29829 = 3 × 61 × 163, so it is divisible by 3.
What are the factors of 29829?
1, 3, 61, 163, 183, 489, 9943, 29829.
What is 29829 in binary?
111010010000101 (hexadecimal 7485, octal 72205).
What is the square root of 29829?
About 172.7107.
Is 29829 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 29829?
It is a composite number with 8 divisors.