The number 24822
24822 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 197. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 197, 394, 591, 1182 … 24822.
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How to work it out
- 1
What is special about 24822: a Harshad number: divisible by its digit sum 18.
- 2
24822 is composite. Its prime factorisation is
- 3
The divisors add up to 61776; without 24822 itself that is 36954, so 24822 is abundant (36954 is more than 24822). Euler's totient φ(24822) = 7056 numbers up to 24822 share no factor with it.
- 4
The digits of 24822 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24822 = 2 \times 3^{2} \times 7 \times 197 \]24822 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61776 |
| Euler totient φ(n) | 7056 |
| Square | 616131684 |
| Cube | 15293620660248 |
| Square root | 157.549992 (= 3√2758) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4822 × |
24822 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and twenty-two |
| Binary (base 2) | 110000011110110 |
| Octal (base 8) | 60366 |
| Hexadecimal (base 16) | 60F6 |
| Base 3 | 1021001100 |
| As time | 24822 seconds = 6 h 53 min 42 s |
Is 24822 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24822 ÷ 2 = 12411) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24822 ÷ 3 = 8274) | 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 (24822 ÷ 6 = 4137) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24822 ÷ 7 = 3546) | 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 (24822 ÷ 9 = 2758) | 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 6) | 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 24822 a prime number?
No. 24822 = 2 × × 7 × 197, so it is divisible by 2.
What are the factors of 24822?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 197, 394, 591, 1182, 1379, 1773, 2758, 3546, 4137, 8274, 12411, 24822.
What is 24822 in binary?
110000011110110 (hexadecimal 60F6, octal 60366).
What is the square root of 24822?
About 157.5500, exactly 3√2758.
Is 24822 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24822?
24822 is a Harshad number: divisible by its digit sum 18.