The number 29585
29585 is a composite number with 8 divisors. Its prime factorisation is 5 × 61 × 97. Divisors (8): 1, 5, 61, 97, 305, 485, 5917, 29585.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29585 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29585 is composite. Its prime factorisation is
- 3
The divisors add up to 36456; without 29585 itself that is 6871, so 29585 is deficient (6871 is less than 29585). Euler's totient φ(29585) = 23040 numbers up to 29585 share no factor with it.
- 4
The digits of 29585 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29585 = 5 \times 61 \times 97 \]
29585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36456 |
| Euler totient φ(n) | 23040 |
| Square | 875272225 |
| Cube | 25894928776625 |
| Square root | 172.002907 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.9585 × |
29585 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand five hundred and eighty-five |
| Binary (base 2) | 111001110010001 |
| Octal (base 8) | 71621 |
| Hexadecimal (base 16) | 7391 |
| Base 3 | 1111120202 |
| As time | 29585 seconds = 8 h 13 min 5 s |
Is 29585 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 | No (remainder 2) | 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 | Yes (29585 ÷ 5 = 5917) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29585 a prime number?
No. 29585 = 5 × 61 × 97, so it is divisible by 5.
What are the factors of 29585?
1, 5, 61, 97, 305, 485, 5917, 29585.
What is 29585 in binary?
111001110010001 (hexadecimal 7391, octal 71621).
What is the square root of 29585?
About 172.0029.
Is 29585 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 29585?
It is a composite number with 8 divisors.