The number 30342
30342 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 389. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 389, 778, 1167, 2334, 5057, 10114, 15171, 30342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30342 is composite. Its prime factorisation is
- 3
The divisors add up to 65520; without 30342 itself that is 35178, so 30342 is abundant (35178 is more than 30342). Euler's totient φ(30342) = 9312 numbers up to 30342 share no factor with it.
- 4
The digits of 30342 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30342 = 2 \times 3 \times 13 \times 389 \]
30342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 65520 |
| Euler totient φ(n) | 9312 |
| Square | 920636964 |
| Cube | 27933966761688 |
| Square root | 174.189552 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.0342 × |
30342 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand three hundred and forty-two |
| Binary (base 2) | 111011010000110 |
| Octal (base 8) | 73206 |
| Hexadecimal (base 16) | 7686 |
| Base 3 | 1112121210 |
| As time | 30342 seconds = 8 h 25 min 42 s |
Is 30342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30342 ÷ 2 = 15171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30342 ÷ 3 = 10114) | 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 (30342 ÷ 6 = 5057) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 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 4) | 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 30342 a prime number?
No. 30342 = 2 × 3 × 13 × 389, so it is divisible by 2.
What are the factors of 30342?
1, 2, 3, 6, 13, 26, 39, 78, 389, 778, 1167, 2334, 5057, 10114, 15171, 30342.
What is 30342 in binary?
111011010000110 (hexadecimal 7686, octal 73206).
What is the square root of 30342?
About 174.1896.
Is 30342 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 30342?
It is a composite number with 16 divisors.