The number 42738
42738 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 419. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 419, 838, 1257, 2514, 7123, 14246, 21369, 42738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42738 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 42738 itself that is 47982, so 42738 is abundant (47982 is more than 42738). Euler's totient φ(42738) = 13376 numbers up to 42738 share no factor with it.
- 4
The digits of 42738 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
\[ 42738 = 2 \times 3 \times 17 \times 419 \]
42738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 13376 |
| Square | 1826536644 |
| Cube | 78062523091272 |
| Square root | 206.731710 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2738 × |
42738 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and thirty-eight |
| Binary (base 2) | 1010011011110010 |
| Octal (base 8) | 123362 |
| Hexadecimal (base 16) | A6F2 |
| Base 3 | 2011121220 |
| As time | 42738 seconds = 11 h 52 min 18 s |
Is 42738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42738 ÷ 2 = 21369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42738 ÷ 3 = 14246) | 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 (42738 ÷ 6 = 7123) | 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 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 3) | 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 42738 a prime number?
No. 42738 = 2 × 3 × 17 × 419, so it is divisible by 2.
What are the factors of 42738?
1, 2, 3, 6, 17, 34, 51, 102, 419, 838, 1257, 2514, 7123, 14246, 21369, 42738.
What is 42738 in binary?
1010011011110010 (hexadecimal A6F2, octal 123362).
What is the square root of 42738?
About 206.7317.
Is 42738 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42738?
It is a composite number with 16 divisors.