The number 42333
42333 is a composite number with 8 divisors. Its prime factorisation is 3 × 103 × 137. Divisors (8): 1, 3, 103, 137, 309, 411, 14111, 42333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42333 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42333 is composite. Its prime factorisation is
- 3
The divisors add up to 57408; without 42333 itself that is 15075, so 42333 is deficient (15075 is less than 42333). Euler's totient φ(42333) = 27744 numbers up to 42333 share no factor with it.
- 4
The digits of 42333 add up to 15, 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
\[ 42333 = 3 \times 103 \times 137 \]
42333 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57408 |
| Euler totient φ(n) | 27744 |
| Square | 1792082889 |
| Cube | 75864244940037 |
| Square root | 205.749848 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2333 × |
42333 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and thirty-three |
| Binary (base 2) | 1010010101011101 |
| Octal (base 8) | 122535 |
| Hexadecimal (base 16) | A55D |
| Base 3 | 2011001220 |
| As time | 42333 seconds = 11 h 45 min 33 s |
Is 42333 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 (42333 ÷ 3 = 14111) | 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 4) | 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 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 42333 a prime number?
No. 42333 = 3 × 103 × 137, so it is divisible by 3.
What are the factors of 42333?
1, 3, 103, 137, 309, 411, 14111, 42333.
What is 42333 in binary?
1010010101011101 (hexadecimal A55D, octal 122535).
What is the square root of 42333?
About 205.7498.
Is 42333 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42333?
It is a composite number with 8 divisors.