The number 29359
29359 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 157. Divisors (8): 1, 11, 17, 157, 187, 1727, 2669, 29359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29359 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29359 is composite. Its prime factorisation is
- 3
The divisors add up to 34128; without 29359 itself that is 4769, so 29359 is deficient (4769 is less than 29359). Euler's totient φ(29359) = 24960 numbers up to 29359 share no factor with it.
- 4
The digits of 29359 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29359 = 11 \times 17 \times 157 \]
29359 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34128 |
| Euler totient φ(n) | 24960 |
| Square | 861950881 |
| Cube | 25306015915279 |
| Square root | 171.344682 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.9359 × |
29359 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand three hundred and fifty-nine |
| Binary (base 2) | 111001010101111 |
| Octal (base 8) | 71257 |
| Hexadecimal (base 16) | 72AF |
| Base 3 | 1111021101 |
| As time | 29359 seconds = 8 h 9 min 19 s |
Is 29359 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29359 ÷ 11 = 2669) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29359 a prime number?
No. 29359 = 11 × 17 × 157, so it is divisible by 11.
What are the factors of 29359?
1, 11, 17, 157, 187, 1727, 2669, 29359.
What is 29359 in binary?
111001010101111 (hexadecimal 72AF, octal 71257).
What is the square root of 29359?
About 171.3447.
Is 29359 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 29359?
It is a composite number with 8 divisors.