The number 42378
42378 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1009. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1009, 2018, 3027, 6054, 7063, 14126, 21189, 42378.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42378 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42378 is composite. Its prime factorisation is
- 3
The divisors add up to 96960; without 42378 itself that is 54582, so 42378 is abundant (54582 is more than 42378). Euler's totient φ(42378) = 12096 numbers up to 42378 share no factor with it.
- 4
The digits of 42378 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42378 = 2 \times 3 \times 7 \times 1009 \]
42378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96960 |
| Euler totient φ(n) | 12096 |
| Square | 1795894884 |
| Cube | 76106433394152 |
| Square root | 205.859175 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2378 × |
42378 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and seventy-eight |
| Binary (base 2) | 1010010110001010 |
| Octal (base 8) | 122612 |
| Hexadecimal (base 16) | A58A |
| Base 3 | 2011010120 |
| As time | 42378 seconds = 11 h 46 min 18 s |
Is 42378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42378 ÷ 2 = 21189) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42378 ÷ 3 = 14126) | 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 (42378 ÷ 6 = 7063) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42378 ÷ 7 = 6054) | 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 6) | 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 6) | 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 42378 a prime number?
No. 42378 = 2 × 3 × 7 × 1009, so it is divisible by 2.
What are the factors of 42378?
1, 2, 3, 6, 7, 14, 21, 42, 1009, 2018, 3027, 6054, 7063, 14126, 21189, 42378.
What is 42378 in binary?
1010010110001010 (hexadecimal A58A, octal 122612).
What is the square root of 42378?
About 205.8592.
Is 42378 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42378?
It is a composite number with 16 divisors.