The number 42632
42632 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 8, 73, 146, 292, 584, 5329, 10658, 21316, 42632.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42632 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42632 is composite. Its prime factorisation is
- 3
The divisors add up to 81045; without 42632 itself that is 38413, so 42632 is deficient (38413 is less than 42632). Euler's totient φ(42632) = 21024 numbers up to 42632 share no factor with it.
- 4
The digits of 42632 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42632 = 2^{3} \times 73^{2} \]42632 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81045 |
| Euler totient φ(n) | 21024 |
| Square | 1817487424 |
| Cube | 77483123859968 |
| Square root | 206.475180 (= 146√2) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2632 × |
42632 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and thirty-two |
| Binary (base 2) | 1010011010001000 |
| Octal (base 8) | 123210 |
| Hexadecimal (base 16) | A688 |
| Base 3 | 2011110222 |
| As time | 42632 seconds = 11 h 50 min 32 s |
Is 42632 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42632 ÷ 2 = 21316) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42632 ÷ 4 = 10658) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (42632 ÷ 8 = 5329) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42632 a prime number?
No. 42632 = × , so it is divisible by 2.
What are the factors of 42632?
1, 2, 4, 8, 73, 146, 292, 584, 5329, 10658, 21316, 42632.
What is 42632 in binary?
1010011010001000 (hexadecimal A688, octal 123210).
What is the square root of 42632?
About 206.4752, exactly 146√2.
Is 42632 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42632?
It is a composite number with 12 divisors.