The number 42288
42288 is a composite number with 20 divisors. Its prime factorisation is × 3 × 881. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 881, 1762, 2643, 3524, 5286, 7048 … 42288.
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How to work it out
- 1
What is special about 42288: a Harshad number: divisible by its digit sum 24.
- 2
42288 is composite. Its prime factorisation is
- 3
The divisors add up to 109368; without 42288 itself that is 67080, so 42288 is abundant (67080 is more than 42288). Euler's totient φ(42288) = 14080 numbers up to 42288 share no factor with it.
- 4
The digits of 42288 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42288 = 2^{4} \times 3 \times 881 \]42288 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 109368 |
| Euler totient φ(n) | 14080 |
| Square | 1788274944 |
| Cube | 75622570831872 |
| Square root | 205.640463 (= 4√2643) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2288 × |
42288 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and eighty-eight |
| Binary (base 2) | 1010010100110000 |
| Octal (base 8) | 122460 |
| Hexadecimal (base 16) | A530 |
| Base 3 | 2011000020 |
| As time | 42288 seconds = 11 h 44 min 48 s |
Is 42288 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42288 ÷ 2 = 21144) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42288 ÷ 3 = 14096) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42288 ÷ 4 = 10572) | 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 | Yes (42288 ÷ 6 = 7048) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (42288 ÷ 8 = 5286) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42288 ÷ 12 = 3524) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42288 a prime number?
No. 42288 = × 3 × 881, so it is divisible by 2.
What are the factors of 42288?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 881, 1762, 2643, 3524, 5286, 7048, 10572, 14096, 21144, 42288.
What is 42288 in binary?
1010010100110000 (hexadecimal A530, octal 122460).
What is the square root of 42288?
About 205.6405, exactly 4√2643.
Is 42288 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42288?
42288 is a Harshad number: divisible by its digit sum 24.