The number 42318
42318 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2351. Divisors (12): 1, 2, 3, 6, 9, 18, 2351, 4702, 7053, 14106, 21159, 42318.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42318: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42318 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 42318 itself that is 49410, so 42318 is abundant (49410 is more than 42318). Euler's totient φ(42318) = 14100 numbers up to 42318 share no factor with it.
- 4
The digits of 42318 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42318 = 2 \times 3^{2} \times 2351 \]42318 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 14100 |
| Square | 1790813124 |
| Cube | 75783629781432 |
| Square root | 205.713393 (= 3√4702) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2318 × |
42318 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and eighteen |
| Binary (base 2) | 1010010101001110 |
| Octal (base 8) | 122516 |
| Hexadecimal (base 16) | A54E |
| Base 3 | 2011001100 |
| As time | 42318 seconds = 11 h 45 min 18 s |
Is 42318 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42318 ÷ 2 = 21159) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42318 ÷ 3 = 14106) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42318 ÷ 6 = 7053) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (42318 ÷ 9 = 4702) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 42318 a prime number?
No. 42318 = 2 × × 2351, so it is divisible by 2.
What are the factors of 42318?
1, 2, 3, 6, 9, 18, 2351, 4702, 7053, 14106, 21159, 42318.
What is 42318 in binary?
1010010101001110 (hexadecimal A54E, octal 122516).
What is the square root of 42318?
About 205.7134, exactly 3√4702.
Is 42318 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42318?
42318 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.