The number 29684
29684 is a composite number with 12 divisors. Its prime factorisation is × 41 × 181. Divisors (12): 1, 2, 4, 41, 82, 164, 181, 362, 724, 7421, 14842, 29684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29684 is composite. Its prime factorisation is
- 3
The divisors add up to 53508; without 29684 itself that is 23824, so 29684 is deficient (23824 is less than 29684). Euler's totient φ(29684) = 14400 numbers up to 29684 share no factor with it.
- 4
The digits of 29684 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29684 = 2^{2} \times 41 \times 181 \]29684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53508 |
| Euler totient φ(n) | 14400 |
| Square | 881139856 |
| Cube | 26155755485504 |
| Square root | 172.290452 (= 2√7421) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.9684 × |
29684 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand six hundred and eighty-four |
| Binary (base 2) | 111001111110100 |
| Octal (base 8) | 71764 |
| Hexadecimal (base 16) | 73F4 |
| Base 3 | 1111201102 |
| As time | 29684 seconds = 8 h 14 min 44 s |
Is 29684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29684 ÷ 2 = 14842) | 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 | Yes (29684 ÷ 4 = 7421) | 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 2) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29684 a prime number?
No. 29684 = × 41 × 181, so it is divisible by 2.
What are the factors of 29684?
1, 2, 4, 41, 82, 164, 181, 362, 724, 7421, 14842, 29684.
What is 29684 in binary?
111001111110100 (hexadecimal 73F4, octal 71764).
What is the square root of 29684?
About 172.2905, exactly 2√7421.
Is 29684 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 29684?
It is a composite number with 12 divisors.