The number 42394
42394 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 41 × 47. Divisors (16): 1, 2, 11, 22, 41, 47, 82, 94, 451, 517, 902, 1034, 1927, 3854, 21197, 42394.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42394: a Harshad number: divisible by its digit sum 22.
- 2
42394 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 42394 itself that is 30182, so 42394 is deficient (30182 is less than 42394). Euler's totient φ(42394) = 18400 numbers up to 42394 share no factor with it.
- 4
The digits of 42394 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42394 = 2 \times 11 \times 41 \times 47 \]
42394 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 18400 |
| Square | 1797251236 |
| Cube | 76192668898984 |
| Square root | 205.898033 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2394 × |
42394 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and ninety-four |
| Binary (base 2) | 1010010110011010 |
| Octal (base 8) | 122632 |
| Hexadecimal (base 16) | A59A |
| Base 3 | 2011011011 |
| As time | 42394 seconds = 11 h 46 min 34 s |
Is 42394 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42394 ÷ 2 = 21197) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42394 ÷ 11 = 3854) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42394 a prime number?
No. 42394 = 2 × 11 × 41 × 47, so it is divisible by 2.
What are the factors of 42394?
1, 2, 11, 22, 41, 47, 82, 94, 451, 517, 902, 1034, 1927, 3854, 21197, 42394.
What is 42394 in binary?
1010010110011010 (hexadecimal A59A, octal 122632).
What is the square root of 42394?
About 205.8980.
Is 42394 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42394?
42394 is a Harshad number: divisible by its digit sum 22.