The number 98442
98442 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1823. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1823, 3646, 5469, 10938, 16407, 32814, 49221, 98442.
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How to work it out
- 1
What is special about 98442: a Harshad number: divisible by its digit sum 27.
- 2
98442 is composite. Its prime factorisation is
- 3
The divisors add up to 218880; without 98442 itself that is 120438, so 98442 is abundant (120438 is more than 98442). Euler's totient φ(98442) = 32796 numbers up to 98442 share no factor with it.
- 4
The digits of 98442 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98442 = 2 \times 3^{3} \times 1823 \]98442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 218880 |
| Euler totient φ(n) | 32796 |
| Square | 9690827364 |
| Cube | 953984427366888 |
| Square root | 313.754681 (= 3√10938) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8442 × |
98442 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand four hundred and forty-two |
| Binary (base 2) | 11000000010001010 |
| Octal (base 8) | 300212 |
| Hexadecimal (base 16) | 1808A |
| Base 3 | 12000001000 |
| As time | 98442 seconds = 27 h 20 min 42 s |
Is 98442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98442 ÷ 2 = 49221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98442 ÷ 3 = 32814) | 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 (98442 ÷ 6 = 16407) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (98442 ÷ 9 = 10938) | 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 3) | 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 98442 a prime number?
No. 98442 = 2 × × 1823, so it is divisible by 2.
What are the factors of 98442?
1, 2, 3, 6, 9, 18, 27, 54, 1823, 3646, 5469, 10938, 16407, 32814, 49221, 98442.
What is 98442 in binary?
11000000010001010 (hexadecimal 1808A, octal 300212).
What is the square root of 98442?
About 313.7547, exactly 3√10938.
Is 98442 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 98442?
98442 is a Harshad number: divisible by its digit sum 27.