The number 29142
29142 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1619. Divisors (12): 1, 2, 3, 6, 9, 18, 1619, 3238, 4857, 9714, 14571, 29142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29142: a Harshad number: divisible by its digit sum 18.
- 2
29142 is composite. Its prime factorisation is
- 3
The divisors add up to 63180; without 29142 itself that is 34038, so 29142 is abundant (34038 is more than 29142). Euler's totient φ(29142) = 9708 numbers up to 29142 share no factor with it.
- 4
The digits of 29142 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29142 = 2 \times 3^{2} \times 1619 \]29142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63180 |
| Euler totient φ(n) | 9708 |
| Square | 849256164 |
| Cube | 24749023131288 |
| Square root | 170.710281 (= 3√3238) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.9142 × |
29142 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand one hundred and forty-two |
| Binary (base 2) | 111000111010110 |
| Octal (base 8) | 70726 |
| Hexadecimal (base 16) | 71D6 |
| Base 3 | 1110222100 |
| As time | 29142 seconds = 8 h 5 min 42 s |
Is 29142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29142 ÷ 2 = 14571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29142 ÷ 3 = 9714) | 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 | Yes (29142 ÷ 6 = 4857) | 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 | Yes (29142 ÷ 9 = 3238) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29142 a prime number?
No. 29142 = 2 × × 1619, so it is divisible by 2.
What are the factors of 29142?
1, 2, 3, 6, 9, 18, 1619, 3238, 4857, 9714, 14571, 29142.
What is 29142 in binary?
111000111010110 (hexadecimal 71D6, octal 70726).
What is the square root of 29142?
About 170.7103, exactly 3√3238.
Is 29142 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29142?
29142 is a Harshad number: divisible by its digit sum 18.