The number 42228
42228 is a composite number with 48 divisors. Its prime factorisation is × × 17 × 23. Divisors (48): 1, 2, 3, 4, 6, 9, 12, 17, 18, 23, 27, 34, 36, 46, 51, 54 … 42228.
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How to work it out
- 1
What is special about 42228: a Harshad number: divisible by its digit sum 18.
- 2
42228 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 42228 itself that is 78732, so 42228 is abundant (78732 is more than 42228). Euler's totient φ(42228) = 12672 numbers up to 42228 share no factor with it.
- 4
The digits of 42228 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42228 = 2^{2} \times 3^{3} \times 17 \times 23 \]42228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 12672 |
| Square | 1783203984 |
| Cube | 75301137836352 |
| Square root | 205.494525 (= 6√1173) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2228 × |
42228 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and twenty-eight |
| Binary (base 2) | 1010010011110100 |
| Octal (base 8) | 122364 |
| Hexadecimal (base 16) | A4F4 |
| Base 3 | 2010221000 |
| As time | 42228 seconds = 11 h 43 min 48 s |
Is 42228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42228 ÷ 2 = 21114) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42228 ÷ 3 = 14076) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42228 ÷ 4 = 10557) | 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 (42228 ÷ 6 = 7038) | 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 | Yes (42228 ÷ 9 = 4692) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42228 ÷ 12 = 3519) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42228 a prime number?
No. 42228 = × × 17 × 23, so it is divisible by 2.
What are the factors of 42228?
1, 2, 3, 4, 6, 9, 12, 17, 18, 23, 27, 34, 36, 46, 51, 54, 68, 69, 92, 102, 108, 138, 153, 204, 207, 276, 306, 391, 414, 459, 612, 621, 782, 828, 918, 1173, 1242, 1564, 1836, 2346, 2484, 3519, 4692, 7038, 10557, 14076, 21114, 42228.
What is 42228 in binary?
1010010011110100 (hexadecimal A4F4, octal 122364).
What is the square root of 42228?
About 205.4945, exactly 6√1173.
Is 42228 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42228?
42228 is a Harshad number: divisible by its digit sum 18.