The number 98088
98088 is a composite number with 32 divisors. Its prime factorisation is × 3 × 61 × 67. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 61, 67, 122, 134, 183, 201, 244, 268 … 98088.
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How to work it out
- 1
98088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98088 is composite. Its prime factorisation is
- 3
The divisors add up to 252960; without 98088 itself that is 154872, so 98088 is abundant (154872 is more than 98088). Euler's totient φ(98088) = 31680 numbers up to 98088 share no factor with it.
- 4
The digits of 98088 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98088 = 2^{3} \times 3 \times 61 \times 67 \]98088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 252960 |
| Euler totient φ(n) | 31680 |
| Square | 9621255744 |
| Cube | 943729733417472 |
| Square root | 313.190038 (= 2√24522) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8088 × |
98088 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and eighty-eight |
| Binary (base 2) | 10111111100101000 |
| Octal (base 8) | 277450 |
| Hexadecimal (base 16) | 17F28 |
| Base 3 | 11222112220 |
| As time | 98088 seconds = 27 h 14 min 48 s |
Is 98088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98088 ÷ 2 = 49044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98088 ÷ 3 = 32696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98088 ÷ 4 = 24522) | 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 | Yes (98088 ÷ 6 = 16348) | 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 (98088 ÷ 8 = 12261) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (98088 ÷ 12 = 8174) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98088 a prime number?
No. 98088 = × 3 × 61 × 67, so it is divisible by 2.
What are the factors of 98088?
1, 2, 3, 4, 6, 8, 12, 24, 61, 67, 122, 134, 183, 201, 244, 268, 366, 402, 488, 536, 732, 804, 1464, 1608, 4087, 8174, 12261, 16348, 24522, 32696, 49044, 98088.
What is 98088 in binary?
10111111100101000 (hexadecimal 17F28, octal 277450).
What is the square root of 98088?
About 313.1900, exactly 2√24522.
Is 98088 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 98088?
It is a composite number with 32 divisors.