The number 28422
28422 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1579. Divisors (12): 1, 2, 3, 6, 9, 18, 1579, 3158, 4737, 9474, 14211, 28422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28422: a Harshad number: divisible by its digit sum 18.
- 2
28422 is composite. Its prime factorisation is
- 3
The divisors add up to 61620; without 28422 itself that is 33198, so 28422 is abundant (33198 is more than 28422). Euler's totient φ(28422) = 9468 numbers up to 28422 share no factor with it.
- 4
The digits of 28422 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28422 = 2 \times 3^{2} \times 1579 \]28422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61620 |
| Euler totient φ(n) | 9468 |
| Square | 807810084 |
| Cube | 22959578207448 |
| Square root | 168.588256 (= 3√3158) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8422 × |
28422 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand four hundred and twenty-two |
| Binary (base 2) | 110111100000110 |
| Octal (base 8) | 67406 |
| Hexadecimal (base 16) | 6F06 |
| Base 3 | 1102222200 |
| As time | 28422 seconds = 7 h 53 min 42 s |
Is 28422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28422 ÷ 2 = 14211) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28422 ÷ 3 = 9474) | 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 (28422 ÷ 6 = 4737) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (28422 ÷ 9 = 3158) | 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 9) | 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 28422 a prime number?
No. 28422 = 2 × × 1579, so it is divisible by 2.
What are the factors of 28422?
1, 2, 3, 6, 9, 18, 1579, 3158, 4737, 9474, 14211, 28422.
What is 28422 in binary?
110111100000110 (hexadecimal 6F06, octal 67406).
What is the square root of 28422?
About 168.5883, exactly 3√3158.
Is 28422 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 28422?
28422 is a Harshad number: divisible by its digit sum 18.