The number 42636
42636 is a composite number with 48 divisors. Its prime factorisation is × 3 × 11 × 17 × 19. Divisors (48): 1, 2, 3, 4, 6, 11, 12, 17, 19, 22, 33, 34, 38, 44, 51, 57 … 42636.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42636 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42636 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 42636 itself that is 78324, so 42636 is abundant (78324 is more than 42636). Euler's totient φ(42636) = 11520 numbers up to 42636 share no factor with it.
- 4
The digits of 42636 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42636 = 2^{2} \times 3 \times 11 \times 17 \times 19 \]42636 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 11520 |
| Square | 1817828496 |
| Cube | 77504935755456 |
| Square root | 206.484866 (= 2√10659) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2636 × |
42636 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and thirty-six |
| Binary (base 2) | 1010011010001100 |
| Octal (base 8) | 123214 |
| Hexadecimal (base 16) | A68C |
| Base 3 | 2011111010 |
| As time | 42636 seconds = 11 h 50 min 36 s |
Is 42636 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42636 ÷ 2 = 21318) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42636 ÷ 3 = 14212) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42636 ÷ 4 = 10659) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42636 ÷ 6 = 7106) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42636 ÷ 11 = 3876) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42636 ÷ 12 = 3553) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42636 a prime number?
No. 42636 = × 3 × 11 × 17 × 19, so it is divisible by 2.
What are the factors of 42636?
1, 2, 3, 4, 6, 11, 12, 17, 19, 22, 33, 34, 38, 44, 51, 57, 66, 68, 76, 102, 114, 132, 187, 204, 209, 228, 323, 374, 418, 561, 627, 646, 748, 836, 969, 1122, 1254, 1292, 1938, 2244, 2508, 3553, 3876, 7106, 10659, 14212, 21318, 42636.
What is 42636 in binary?
1010011010001100 (hexadecimal A68C, octal 123214).
What is the square root of 42636?
About 206.4849, exactly 2√10659.
Is 42636 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42636?
It is a composite number with 48 divisors.