The number 29164
29164 is a composite number with 12 divisors. Its prime factorisation is × 23 × 317. Divisors (12): 1, 2, 4, 23, 46, 92, 317, 634, 1268, 7291, 14582, 29164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29164 is composite. Its prime factorisation is
- 3
The divisors add up to 53424; without 29164 itself that is 24260, so 29164 is deficient (24260 is less than 29164). Euler's totient φ(29164) = 13904 numbers up to 29164 share no factor with it.
- 4
The digits of 29164 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29164 = 2^{2} \times 23 \times 317 \]29164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53424 |
| Euler totient φ(n) | 13904 |
| Square | 850538896 |
| Cube | 24805116362944 |
| Square root | 170.774705 (= 2√7291) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9164 × |
29164 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand one hundred and sixty-four |
| Binary (base 2) | 111000111101100 |
| Octal (base 8) | 70754 |
| Hexadecimal (base 16) | 71EC |
| Base 3 | 1111000011 |
| As time | 29164 seconds = 8 h 6 min 4 s |
Is 29164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29164 ÷ 2 = 14582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29164 ÷ 4 = 7291) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29164 a prime number?
No. 29164 = × 23 × 317, so it is divisible by 2.
What are the factors of 29164?
1, 2, 4, 23, 46, 92, 317, 634, 1268, 7291, 14582, 29164.
What is 29164 in binary?
111000111101100 (hexadecimal 71EC, octal 70754).
What is the square root of 29164?
About 170.7747, exactly 2√7291.
Is 29164 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 29164?
It is a composite number with 12 divisors.