The number 42393
42393 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1087. Divisors (8): 1, 3, 13, 39, 1087, 3261, 14131, 42393.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42393 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42393 is composite. Its prime factorisation is
- 3
The divisors add up to 60928; without 42393 itself that is 18535, so 42393 is deficient (18535 is less than 42393). Euler's totient φ(42393) = 26064 numbers up to 42393 share no factor with it.
- 4
The digits of 42393 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42393 = 3 \times 13 \times 1087 \]
42393 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60928 |
| Euler totient φ(n) | 26064 |
| Square | 1797166449 |
| Cube | 76187277272457 |
| Square root | 205.895605 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2393 × |
42393 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and ninety-three |
| Binary (base 2) | 1010010110011001 |
| Octal (base 8) | 122631 |
| Hexadecimal (base 16) | A599 |
| Base 3 | 2011011010 |
| As time | 42393 seconds = 11 h 46 min 33 s |
Is 42393 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42393 ÷ 3 = 14131) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42393 a prime number?
No. 42393 = 3 × 13 × 1087, so it is divisible by 3.
What are the factors of 42393?
1, 3, 13, 39, 1087, 3261, 14131, 42393.
What is 42393 in binary?
1010010110011001 (hexadecimal A599, octal 122631).
What is the square root of 42393?
About 205.8956.
Is 42393 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42393?
It is a composite number with 8 divisors.