The number 42993
42993 is a composite number with 12 divisors. Its prime factorisation is × 17 × 281. Divisors (12): 1, 3, 9, 17, 51, 153, 281, 843, 2529, 4777, 14331, 42993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42993 is composite. Its prime factorisation is
- 3
The divisors add up to 65988; without 42993 itself that is 22995, so 42993 is deficient (22995 is less than 42993). Euler's totient φ(42993) = 26880 numbers up to 42993 share no factor with it.
- 4
The digits of 42993 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42993 = 3^{2} \times 17 \times 281 \]42993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65988 |
| Euler totient φ(n) | 26880 |
| Square | 1848398049 |
| Cube | 79468177320657 |
| Square root | 207.347534 (= 3√4777) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2993 × |
42993 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and ninety-three |
| Binary (base 2) | 1010011111110001 |
| Octal (base 8) | 123761 |
| Hexadecimal (base 16) | A7F1 |
| Base 3 | 2011222100 |
| As time | 42993 seconds = 11 h 56 min 33 s |
Is 42993 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 (42993 ÷ 3 = 14331) | 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 6) | 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 | Yes (42993 ÷ 9 = 4777) | 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 5) | 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 42993 a prime number?
No. 42993 = × 17 × 281, so it is divisible by 3.
What are the factors of 42993?
1, 3, 9, 17, 51, 153, 281, 843, 2529, 4777, 14331, 42993.
What is 42993 in binary?
1010011111110001 (hexadecimal A7F1, octal 123761).
What is the square root of 42993?
About 207.3475, exactly 3√4777.
Is 42993 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42993?
It is a composite number with 12 divisors.