The number 42564
42564 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3547. Divisors (12): 1, 2, 3, 4, 6, 12, 3547, 7094, 10641, 14188, 21282, 42564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42564: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42564 is composite. Its prime factorisation is
- 3
The divisors add up to 99344; without 42564 itself that is 56780, so 42564 is abundant (56780 is more than 42564). Euler's totient φ(42564) = 14184 numbers up to 42564 share no factor with it.
- 4
The digits of 42564 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
\[ 42564 = 2^{2} \times 3 \times 3547 \]42564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99344 |
| Euler totient φ(n) | 14184 |
| Square | 1811694096 |
| Cube | 77112947502144 |
| Square root | 206.310446 (= 2√10641) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2564 × |
42564 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and sixty-four |
| Binary (base 2) | 1010011001000100 |
| Octal (base 8) | 123104 |
| Hexadecimal (base 16) | A644 |
| Base 3 | 2011101110 |
| As time | 42564 seconds = 11 h 49 min 24 s |
Is 42564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42564 ÷ 2 = 21282) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42564 ÷ 3 = 14188) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42564 ÷ 4 = 10641) | 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 | Yes (42564 ÷ 6 = 7094) | 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 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 4) | 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 | Yes (42564 ÷ 12 = 3547) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42564 a prime number?
No. 42564 = × 3 × 3547, so it is divisible by 2.
What are the factors of 42564?
1, 2, 3, 4, 6, 12, 3547, 7094, 10641, 14188, 21282, 42564.
What is 42564 in binary?
1010011001000100 (hexadecimal A644, octal 123104).
What is the square root of 42564?
About 206.3104, exactly 2√10641.
Is 42564 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42564?
42564 is a happy number: repeatedly adding the squares of its digits reaches 1.