The number 42693
42693 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 19 × 107. Divisors (16): 1, 3, 7, 19, 21, 57, 107, 133, 321, 399, 749, 2033, 2247, 6099, 14231, 42693.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42693 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42693 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 42693 itself that is 26427, so 42693 is deficient (26427 is less than 42693). Euler's totient φ(42693) = 22896 numbers up to 42693 share no factor with it.
- 4
The digits of 42693 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42693 = 3 \times 7 \times 19 \times 107 \]
42693 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 22896 |
| Square | 1822692249 |
| Cube | 77816200186557 |
| Square root | 206.622845 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2693 × |
42693 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and ninety-three |
| Binary (base 2) | 1010011011000101 |
| Octal (base 8) | 123305 |
| Hexadecimal (base 16) | A6C5 |
| Base 3 | 2011120020 |
| As time | 42693 seconds = 11 h 51 min 33 s |
Is 42693 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 (42693 ÷ 3 = 14231) | 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 | Yes (42693 ÷ 7 = 6099) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 42693 a prime number?
No. 42693 = 3 × 7 × 19 × 107, so it is divisible by 3.
What are the factors of 42693?
1, 3, 7, 19, 21, 57, 107, 133, 321, 399, 749, 2033, 2247, 6099, 14231, 42693.
What is 42693 in binary?
1010011011000101 (hexadecimal A6C5, octal 123305).
What is the square root of 42693?
About 206.6228.
Is 42693 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42693?
It is a composite number with 16 divisors.