The number 28242
28242 is a composite number with 16 divisors. Its prime factorisation is 2 × × 523. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 523, 1046, 1569, 3138, 4707, 9414, 14121, 28242.
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How to work it out
- 1
What is special about 28242: a Harshad number: divisible by its digit sum 18.
- 2
28242 is composite. Its prime factorisation is
- 3
The divisors add up to 62880; without 28242 itself that is 34638, so 28242 is abundant (34638 is more than 28242). Euler's totient φ(28242) = 9396 numbers up to 28242 share no factor with it.
- 4
The digits of 28242 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28242 = 2 \times 3^{3} \times 523 \]28242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62880 |
| Euler totient φ(n) | 9396 |
| Square | 797610564 |
| Cube | 22526117548488 |
| Square root | 168.053563 (= 3√3138) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.8242 × |
28242 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand two hundred and forty-two |
| Binary (base 2) | 110111001010010 |
| Octal (base 8) | 67122 |
| Hexadecimal (base 16) | 6E52 |
| Base 3 | 1102202000 |
| As time | 28242 seconds = 7 h 50 min 42 s |
Is 28242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28242 ÷ 2 = 14121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28242 ÷ 3 = 9414) | 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 (28242 ÷ 6 = 4707) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (28242 ÷ 9 = 3138) | 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 5) | 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 28242 a prime number?
No. 28242 = 2 × × 523, so it is divisible by 2.
What are the factors of 28242?
1, 2, 3, 6, 9, 18, 27, 54, 523, 1046, 1569, 3138, 4707, 9414, 14121, 28242.
What is 28242 in binary?
110111001010010 (hexadecimal 6E52, octal 67122).
What is the square root of 28242?
About 168.0536, exactly 3√3138.
Is 28242 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 28242?
28242 is a Harshad number: divisible by its digit sum 18.