The number 42644
42644 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1523. Divisors (12): 1, 2, 4, 7, 14, 28, 1523, 3046, 6092, 10661, 21322, 42644.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42644 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42644 is composite. Its prime factorisation is
- 3
The divisors add up to 85344; without 42644 itself that is 42700, so 42644 is abundant (42700 is more than 42644). Euler's totient φ(42644) = 18264 numbers up to 42644 share no factor with it.
- 4
The digits of 42644 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42644 = 2^{2} \times 7 \times 1523 \]42644 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 85344 |
| Euler totient φ(n) | 18264 |
| Square | 1818510736 |
| Cube | 77548571825984 |
| Square root | 206.504237 (= 2√10661) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2644 × |
42644 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and forty-four |
| Binary (base 2) | 1010011010010100 |
| Octal (base 8) | 123224 |
| Hexadecimal (base 16) | A694 |
| Base 3 | 2011111102 |
| As time | 42644 seconds = 11 h 50 min 44 s |
Is 42644 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42644 ÷ 2 = 21322) | 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 (42644 ÷ 4 = 10661) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (42644 ÷ 7 = 6092) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42644 a prime number?
No. 42644 = × 7 × 1523, so it is divisible by 2.
What are the factors of 42644?
1, 2, 4, 7, 14, 28, 1523, 3046, 6092, 10661, 21322, 42644.
What is 42644 in binary?
1010011010010100 (hexadecimal A694, octal 123224).
What is the square root of 42644?
About 206.5042, exactly 2√10661.
Is 42644 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42644?
It is a composite number with 12 divisors.