The number 29084
29084 is a composite number with 12 divisors. Its prime factorisation is × 11 × 661. Divisors (12): 1, 2, 4, 11, 22, 44, 661, 1322, 2644, 7271, 14542, 29084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29084 is composite. Its prime factorisation is
- 3
The divisors add up to 55608; without 29084 itself that is 26524, so 29084 is deficient (26524 is less than 29084). Euler's totient φ(29084) = 13200 numbers up to 29084 share no factor with it.
- 4
The digits of 29084 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29084 = 2^{2} \times 11 \times 661 \]29084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55608 |
| Euler totient φ(n) | 13200 |
| Square | 845879056 |
| Cube | 24601546464704 |
| Square root | 170.540318 (= 2√7271) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9084 × |
29084 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and eighty-four |
| Binary (base 2) | 111000110011100 |
| Octal (base 8) | 70634 |
| Hexadecimal (base 16) | 719C |
| Base 3 | 1110220012 |
| As time | 29084 seconds = 8 h 4 min 44 s |
Is 29084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29084 ÷ 2 = 14542) | 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 (29084 ÷ 4 = 7271) | 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 6) | 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 5) | 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 | Yes (29084 ÷ 11 = 2644) | 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 29084 a prime number?
No. 29084 = × 11 × 661, so it is divisible by 2.
What are the factors of 29084?
1, 2, 4, 11, 22, 44, 661, 1322, 2644, 7271, 14542, 29084.
What is 29084 in binary?
111000110011100 (hexadecimal 719C, octal 70634).
What is the square root of 29084?
About 170.5403, exactly 2√7271.
Is 29084 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 29084?
It is a composite number with 12 divisors.