The number 42930
42930 is a composite number with 40 divisors. Its prime factorisation is 2 × × 5 × 53. Divisors (40): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 53, 54, 81, 90 … 42930.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42930: a Harshad number: divisible by its digit sum 18.
- 2
42930 is composite. Its prime factorisation is
- 3
The divisors add up to 117612; without 42930 itself that is 74682, so 42930 is abundant (74682 is more than 42930). Euler's totient φ(42930) = 11232 numbers up to 42930 share no factor with it.
- 4
The digits of 42930 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42930 = 2 \times 3^{4} \times 5 \times 53 \]42930 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 117612 |
| Euler totient φ(n) | 11232 |
| Square | 1842984900 |
| Cube | 79119341757000 |
| Square root | 207.195560 (= 9√530) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.293 × |
42930 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and thirty |
| Binary (base 2) | 1010011110110010 |
| Octal (base 8) | 123662 |
| Hexadecimal (base 16) | A7B2 |
| Base 3 | 2011220000 |
| As time | 42930 seconds = 11 h 55 min 30 s |
Is 42930 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42930 ÷ 2 = 21465) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42930 ÷ 3 = 14310) | 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 (42930 ÷ 5 = 8586) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42930 ÷ 6 = 7155) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42930 ÷ 9 = 4770) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42930 ÷ 10 = 4293) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 42930 a prime number?
No. 42930 = 2 × × 5 × 53, so it is divisible by 2.
What are the factors of 42930?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 53, 54, 81, 90, 106, 135, 159, 162, 265, 270, 318, 405, 477, 530, 795, 810, 954, 1431, 1590, 2385, 2862, 4293, 4770, 7155, 8586, 14310, 21465, 42930.
What is 42930 in binary?
1010011110110010 (hexadecimal A7B2, octal 123662).
What is the square root of 42930?
About 207.1956, exactly 9√530.
Is 42930 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42930?
42930 is a Harshad number: divisible by its digit sum 18.