The number 42330
42330 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 17 × 83. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 83, 85, 102, 166, 170 … 42330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42330 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42330 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 42330 itself that is 66534, so 42330 is abundant (66534 is more than 42330). Euler's totient φ(42330) = 10496 numbers up to 42330 share no factor with it.
- 4
The digits of 42330 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42330 = 2 \times 3 \times 5 \times 17 \times 83 \]
42330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 10496 |
| Square | 1791828900 |
| Cube | 75848117337000 |
| Square root | 205.742558 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.233 × |
42330 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and thirty |
| Binary (base 2) | 1010010101011010 |
| Octal (base 8) | 122532 |
| Hexadecimal (base 16) | A55A |
| Base 3 | 2011001210 |
| As time | 42330 seconds = 11 h 45 min 30 s |
Is 42330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42330 ÷ 2 = 21165) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42330 ÷ 3 = 14110) | 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 | Yes (42330 ÷ 5 = 8466) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42330 ÷ 6 = 7055) | 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 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 | Yes (42330 ÷ 10 = 4233) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42330 a prime number?
No. 42330 = 2 × 3 × 5 × 17 × 83, so it is divisible by 2.
What are the factors of 42330?
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 83, 85, 102, 166, 170, 249, 255, 415, 498, 510, 830, 1245, 1411, 2490, 2822, 4233, 7055, 8466, 14110, 21165, 42330.
What is 42330 in binary?
1010010101011010 (hexadecimal A55A, octal 122532).
What is the square root of 42330?
About 205.7426.
Is 42330 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42330?
It is a composite number with 32 divisors.