The number 98424
98424 is a composite number with 24 divisors. Its prime factorisation is × × 1367. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1367, 2734, 4101, 5468 … 98424.
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How to work it out
- 1
98424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98424 is composite. Its prime factorisation is
- 3
The divisors add up to 266760; without 98424 itself that is 168336, so 98424 is abundant (168336 is more than 98424). Euler's totient φ(98424) = 32784 numbers up to 98424 share no factor with it.
- 4
The digits of 98424 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98424 = 2^{3} \times 3^{2} \times 1367 \]98424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 266760 |
| Euler totient φ(n) | 32784 |
| Square | 9687283776 |
| Cube | 953461218369024 |
| Square root | 313.725995 (= 6√2734) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.8424 × |
98424 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand four hundred and twenty-four |
| Binary (base 2) | 11000000001111000 |
| Octal (base 8) | 300170 |
| Hexadecimal (base 16) | 18078 |
| Base 3 | 12000000100 |
| As time | 98424 seconds = 27 h 20 min 24 s |
Is 98424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98424 ÷ 2 = 49212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98424 ÷ 3 = 32808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98424 ÷ 4 = 24606) | 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 | Yes (98424 ÷ 6 = 16404) | 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 | Yes (98424 ÷ 8 = 12303) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (98424 ÷ 9 = 10936) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (98424 ÷ 12 = 8202) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98424 a prime number?
No. 98424 = × × 1367, so it is divisible by 2.
What are the factors of 98424?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1367, 2734, 4101, 5468, 8202, 10936, 12303, 16404, 24606, 32808, 49212, 98424.
What is 98424 in binary?
11000000001111000 (hexadecimal 18078, octal 300170).
What is the square root of 98424?
About 313.7260, exactly 6√2734.
Is 98424 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 98424?
It is a composite number with 24 divisors.