The number 42633
42633 is a composite number with 8 divisors. Its prime factorisation is × 1579. Divisors (8): 1, 3, 9, 27, 1579, 4737, 14211, 42633.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42633 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42633 is composite. Its prime factorisation is
- 3
The divisors add up to 63200; without 42633 itself that is 20567, so 42633 is deficient (20567 is less than 42633). Euler's totient φ(42633) = 28404 numbers up to 42633 share no factor with it.
- 4
The digits of 42633 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42633 = 3^{3} \times 1579 \]42633 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63200 |
| Euler totient φ(n) | 28404 |
| Square | 1817572689 |
| Cube | 77488576450137 |
| Square root | 206.477602 (= 3√4737) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2633 × |
42633 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and thirty-three |
| Binary (base 2) | 1010011010001001 |
| Octal (base 8) | 123211 |
| Hexadecimal (base 16) | A689 |
| Base 3 | 2011111000 |
| As time | 42633 seconds = 11 h 50 min 33 s |
Is 42633 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 (42633 ÷ 3 = 14211) | 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 3) | 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 (42633 ÷ 9 = 4737) | 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 8) | 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 42633 a prime number?
No. 42633 = × 1579, so it is divisible by 3.
What are the factors of 42633?
1, 3, 9, 27, 1579, 4737, 14211, 42633.
What is 42633 in binary?
1010011010001001 (hexadecimal A689, octal 123211).
What is the square root of 42633?
About 206.4776, exactly 3√4737.
Is 42633 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42633?
It is a composite number with 8 divisors.