The number 98428
98428 is a composite number with 12 divisors. Its prime factorisation is × 11 × 2237. Divisors (12): 1, 2, 4, 11, 22, 44, 2237, 4474, 8948, 24607, 49214, 98428.
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How to work it out
- 1
98428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98428 is composite. Its prime factorisation is
- 3
The divisors add up to 187992; without 98428 itself that is 89564, so 98428 is deficient (89564 is less than 98428). Euler's totient φ(98428) = 44720 numbers up to 98428 share no factor with it.
- 4
The digits of 98428 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98428 = 2^{2} \times 11 \times 2237 \]98428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 187992 |
| Euler totient φ(n) | 44720 |
| Square | 9688071184 |
| Cube | 953577470498752 |
| Square root | 313.732370 (= 2√24607) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.8428 × |
98428 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand four hundred and twenty-eight |
| Binary (base 2) | 11000000001111100 |
| Octal (base 8) | 300174 |
| Hexadecimal (base 16) | 1807C |
| Base 3 | 12000000111 |
| As time | 98428 seconds = 27 h 20 min 28 s |
Is 98428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98428 ÷ 2 = 49214) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98428 ÷ 4 = 24607) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98428 ÷ 11 = 8948) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98428 a prime number?
No. 98428 = × 11 × 2237, so it is divisible by 2.
What are the factors of 98428?
1, 2, 4, 11, 22, 44, 2237, 4474, 8948, 24607, 49214, 98428.
What is 98428 in binary?
11000000001111100 (hexadecimal 1807C, octal 300174).
What is the square root of 98428?
About 313.7324, exactly 2√24607.
Is 98428 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 98428?
It is a composite number with 12 divisors.