The number 98010
98010 is a composite number with 60 divisors. Its prime factorisation is 2 × × 5 × . Divisors (60): 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54 … 98010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98010: a Harshad number: divisible by its digit sum 18.
- 2
98010 is composite. Its prime factorisation is
- 3
The divisors add up to 289674; without 98010 itself that is 191664, so 98010 is abundant (191664 is more than 98010). Euler's totient φ(98010) = 23760 numbers up to 98010 share no factor with it.
- 4
The digits of 98010 add up to 18, 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
\[ 98010 = 2 \times 3^{4} \times 5 \times 11^{2} \]98010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 289674 |
| Euler totient φ(n) | 23760 |
| Square | 9605960100 |
| Cube | 941480149401000 |
| Square root | 313.065488 (= 99√10) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.801 × |
98010 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and ten |
| Binary (base 2) | 10111111011011010 |
| Octal (base 8) | 277332 |
| Hexadecimal (base 16) | 17EDA |
| Base 3 | 11222110000 |
| As time | 98010 seconds = 27 h 13 min 30 s |
Is 98010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98010 ÷ 2 = 49005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98010 ÷ 3 = 32670) | 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 | Yes (98010 ÷ 5 = 19602) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (98010 ÷ 6 = 16335) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (98010 ÷ 9 = 10890) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98010 ÷ 10 = 9801) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98010 ÷ 11 = 8910) | 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 98010 a prime number?
No. 98010 = 2 × × 5 × , so it is divisible by 2.
What are the factors of 98010?
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 121, 135, 162, 165, 198, 242, 270, 297, 330, 363, 405, 495, 594, 605, 726, 810, 891, 990, 1089, 1210, 1485, 1782, 1815, 2178, 2970, 3267, 3630, 4455, 5445, 6534, 8910, 9801, 10890, 16335, 19602, 32670, 49005, 98010.
What is 98010 in binary?
10111111011011010 (hexadecimal 17EDA, octal 277332).
What is the square root of 98010?
About 313.0655, exactly 99√10.
Is 98010 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 98010?
98010 is a Harshad number: divisible by its digit sum 18.