The number 29742
29742 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 4957. Divisors (8): 1, 2, 3, 6, 4957, 9914, 14871, 29742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29742 is composite. Its prime factorisation is
- 3
The divisors add up to 59496; without 29742 itself that is 29754, so 29742 is abundant (29754 is more than 29742). Euler's totient φ(29742) = 9912 numbers up to 29742 share no factor with it.
- 4
The digits of 29742 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29742 = 2 \times 3 \times 4957 \]
29742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59496 |
| Euler totient φ(n) | 9912 |
| Square | 884586564 |
| Cube | 26309373586488 |
| Square root | 172.458691 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.9742 × |
29742 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and forty-two |
| Binary (base 2) | 111010000101110 |
| Octal (base 8) | 72056 |
| Hexadecimal (base 16) | 742E |
| Base 3 | 1111210120 |
| As time | 29742 seconds = 8 h 15 min 42 s |
Is 29742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29742 ÷ 2 = 14871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29742 ÷ 3 = 9914) | 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 (29742 ÷ 6 = 4957) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | 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 29742 a prime number?
No. 29742 = 2 × 3 × 4957, so it is divisible by 2.
What are the factors of 29742?
1, 2, 3, 6, 4957, 9914, 14871, 29742.
What is 29742 in binary?
111010000101110 (hexadecimal 742E, octal 72056).
What is the square root of 29742?
About 172.4587.
Is 29742 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 29742?
It is a composite number with 8 divisors.