The number 29590
29590 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 269. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 269, 538, 1345, 2690, 2959, 5918, 14795, 29590.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29590 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29590 is composite. Its prime factorisation is
- 3
The divisors add up to 58320; without 29590 itself that is 28730, so 29590 is deficient (28730 is less than 29590). Euler's totient φ(29590) = 10720 numbers up to 29590 share no factor with it.
- 4
The digits of 29590 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29590 = 2 \times 5 \times 11 \times 269 \]
29590 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58320 |
| Euler totient φ(n) | 10720 |
| Square | 875568100 |
| Cube | 25908060079000 |
| Square root | 172.017441 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.959 × |
29590 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand five hundred and ninety |
| Binary (base 2) | 111001110010110 |
| Octal (base 8) | 71626 |
| Hexadecimal (base 16) | 7396 |
| Base 3 | 1111120221 |
| As time | 29590 seconds = 8 h 13 min 10 s |
Is 29590 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29590 ÷ 2 = 14795) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29590 ÷ 5 = 5918) | 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 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29590 ÷ 10 = 2959) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29590 ÷ 11 = 2690) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29590 a prime number?
No. 29590 = 2 × 5 × 11 × 269, so it is divisible by 2.
What are the factors of 29590?
1, 2, 5, 10, 11, 22, 55, 110, 269, 538, 1345, 2690, 2959, 5918, 14795, 29590.
What is 29590 in binary?
111001110010110 (hexadecimal 7396, octal 71626).
What is the square root of 29590?
About 172.0174.
Is 29590 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 29590?
It is a composite number with 16 divisors.