The number 98384
98384 is a composite number with 40 divisors. Its prime factorisation is × 11 × 13 × 43. Divisors (40): 1, 2, 4, 8, 11, 13, 16, 22, 26, 43, 44, 52, 86, 88, 104, 143 … 98384.
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How to work it out
- 1
98384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98384 is composite. Its prime factorisation is
- 3
The divisors add up to 229152; without 98384 itself that is 130768, so 98384 is abundant (130768 is more than 98384). Euler's totient φ(98384) = 40320 numbers up to 98384 share no factor with it.
- 4
The digits of 98384 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98384 = 2^{4} \times 11 \times 13 \times 43 \]98384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 229152 |
| Euler totient φ(n) | 40320 |
| Square | 9679411456 |
| Cube | 952299216687104 |
| Square root | 313.662239 (= 4√6149) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8384 × |
98384 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand three hundred and eighty-four |
| Binary (base 2) | 11000000001010000 |
| Octal (base 8) | 300120 |
| Hexadecimal (base 16) | 18050 |
| Base 3 | 11222221212 |
| As time | 98384 seconds = 27 h 19 min 44 s |
Is 98384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98384 ÷ 2 = 49192) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98384 ÷ 4 = 24596) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (98384 ÷ 8 = 12298) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98384 ÷ 11 = 8944) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98384 a prime number?
No. 98384 = × 11 × 13 × 43, so it is divisible by 2.
What are the factors of 98384?
1, 2, 4, 8, 11, 13, 16, 22, 26, 43, 44, 52, 86, 88, 104, 143, 172, 176, 208, 286, 344, 473, 559, 572, 688, 946, 1118, 1144, 1892, 2236, 2288, 3784, 4472, 6149, 7568, 8944, 12298, 24596, 49192, 98384.
What is 98384 in binary?
11000000001010000 (hexadecimal 18050, octal 300120).
What is the square root of 98384?
About 313.6622, exactly 4√6149.
Is 98384 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 98384?
It is a composite number with 40 divisors.