The number 42822
42822 is a composite number with 32 divisors. Its prime factorisation is 2 × × 13 × 61. Divisors (32): 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 61, 78, 117, 122, 183 … 42822.
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How to work it out
- 1
What is special about 42822: a Harshad number: divisible by its digit sum 18.
- 2
42822 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 42822 itself that is 61338, so 42822 is abundant (61338 is more than 42822). Euler's totient φ(42822) = 12960 numbers up to 42822 share no factor with it.
- 4
The digits of 42822 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42822 = 2 \times 3^{3} \times 13 \times 61 \]42822 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 12960 |
| Square | 1833723684 |
| Cube | 78523715596248 |
| Square root | 206.934772 (= 3√4758) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2822 × |
42822 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and twenty-two |
| Binary (base 2) | 1010011101000110 |
| Octal (base 8) | 123506 |
| Hexadecimal (base 16) | A746 |
| Base 3 | 2011202000 |
| As time | 42822 seconds = 11 h 53 min 42 s |
Is 42822 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42822 ÷ 2 = 21411) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42822 ÷ 3 = 14274) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42822 ÷ 6 = 7137) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42822 ÷ 9 = 4758) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42822 a prime number?
No. 42822 = 2 × × 13 × 61, so it is divisible by 2.
What are the factors of 42822?
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 61, 78, 117, 122, 183, 234, 351, 366, 549, 702, 793, 1098, 1586, 1647, 2379, 3294, 4758, 7137, 14274, 21411, 42822.
What is 42822 in binary?
1010011101000110 (hexadecimal A746, octal 123506).
What is the square root of 42822?
About 206.9348, exactly 3√4758.
Is 42822 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42822?
42822 is a Harshad number: divisible by its digit sum 18.