The number 42933
42933 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1301. Divisors (8): 1, 3, 11, 33, 1301, 3903, 14311, 42933.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42933 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42933 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 42933 itself that is 19563, so 42933 is deficient (19563 is less than 42933). Euler's totient φ(42933) = 26000 numbers up to 42933 share no factor with it.
- 4
The digits of 42933 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42933 = 3 \times 11 \times 1301 \]
42933 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 26000 |
| Square | 1843242489 |
| Cube | 79135929780237 |
| Square root | 207.202799 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2933 × |
42933 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and thirty-three |
| Binary (base 2) | 1010011110110101 |
| Octal (base 8) | 123665 |
| Hexadecimal (base 16) | A7B5 |
| Base 3 | 2011220010 |
| As time | 42933 seconds = 11 h 55 min 33 s |
Is 42933 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 (42933 ÷ 3 = 14311) | 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 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 5) | 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 | Yes (42933 ÷ 11 = 3903) | 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 42933 a prime number?
No. 42933 = 3 × 11 × 1301, so it is divisible by 3.
What are the factors of 42933?
1, 3, 11, 33, 1301, 3903, 14311, 42933.
What is 42933 in binary?
1010011110110101 (hexadecimal A7B5, octal 123665).
What is the square root of 42933?
About 207.2028.
Is 42933 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42933?
It is a composite number with 8 divisors.