The number 29442
29442 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 701. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 701, 1402, 2103, 4206, 4907, 9814, 14721, 29442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29442: a Harshad number: divisible by its digit sum 21.
- 2
29442 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 29442 itself that is 37950, so 29442 is abundant (37950 is more than 29442). Euler's totient φ(29442) = 8400 numbers up to 29442 share no factor with it.
- 4
The digits of 29442 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29442 = 2 \times 3 \times 7 \times 701 \]
29442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 8400 |
| Square | 866831364 |
| Cube | 25521249018888 |
| Square root | 171.586713 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9442 × |
29442 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and forty-two |
| Binary (base 2) | 111001100000010 |
| Octal (base 8) | 71402 |
| Hexadecimal (base 16) | 7302 |
| Base 3 | 1111101110 |
| As time | 29442 seconds = 8 h 10 min 42 s |
Is 29442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29442 ÷ 2 = 14721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29442 ÷ 3 = 9814) | 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 (29442 ÷ 6 = 4907) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29442 ÷ 7 = 4206) | 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 3) | 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 6) | 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 29442 a prime number?
No. 29442 = 2 × 3 × 7 × 701, so it is divisible by 2.
What are the factors of 29442?
1, 2, 3, 6, 7, 14, 21, 42, 701, 1402, 2103, 4206, 4907, 9814, 14721, 29442.
What is 29442 in binary?
111001100000010 (hexadecimal 7302, octal 71402).
What is the square root of 29442?
About 171.5867.
Is 29442 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29442?
29442 is a Harshad number: divisible by its digit sum 21.