The number 29042
29042 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1117. Divisors (8): 1, 2, 13, 26, 1117, 2234, 14521, 29042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29042 is composite. Its prime factorisation is
- 3
The divisors add up to 46956; without 29042 itself that is 17914, so 29042 is deficient (17914 is less than 29042). Euler's totient φ(29042) = 13392 numbers up to 29042 share no factor with it.
- 4
The digits of 29042 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29042 = 2 \times 13 \times 1117 \]
29042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46956 |
| Euler totient φ(n) | 13392 |
| Square | 843437764 |
| Cube | 24495119542088 |
| Square root | 170.417135 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9042 × |
29042 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and forty-two |
| Binary (base 2) | 111000101110010 |
| Octal (base 8) | 70562 |
| Hexadecimal (base 16) | 7172 |
| Base 3 | 1110211122 |
| As time | 29042 seconds = 8 h 4 min 2 s |
Is 29042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29042 ÷ 2 = 14521) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29042 a prime number?
No. 29042 = 2 × 13 × 1117, so it is divisible by 2.
What are the factors of 29042?
1, 2, 13, 26, 1117, 2234, 14521, 29042.
What is 29042 in binary?
111000101110010 (hexadecimal 7172, octal 70562).
What is the square root of 29042?
About 170.4171.
Is 29042 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 29042?
It is a composite number with 8 divisors.