The number 98500
98500 is a composite number with 24 divisors. Its prime factorisation is × × 197. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 197, 250, 394, 500, 788, 985 … 98500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98500 is composite. Its prime factorisation is
- 3
The divisors add up to 216216; without 98500 itself that is 117716, so 98500 is abundant (117716 is more than 98500). Euler's totient φ(98500) = 39200 numbers up to 98500 share no factor with it.
- 4
The digits of 98500 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98500 = 2^{2} \times 5^{3} \times 197 \]98500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 216216 |
| Euler totient φ(n) | 39200 |
| Square | 9702250000 |
| Cube | 955671625000000 |
| Square root | 313.847097 (= 10√985) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.85 × |
98500 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand five hundred |
| Binary (base 2) | 11000000011000100 |
| Octal (base 8) | 300304 |
| Hexadecimal (base 16) | 180C4 |
| Base 3 | 12000010011 |
| As time | 98500 seconds = 27 h 21 min 40 s |
Is 98500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98500 ÷ 2 = 49250) | 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 (98500 ÷ 4 = 24625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98500 ÷ 5 = 19700) | 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 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 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 | Yes (98500 ÷ 10 = 9850) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 98500 a prime number?
No. 98500 = × × 197, so it is divisible by 2.
What are the factors of 98500?
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 197, 250, 394, 500, 788, 985, 1970, 3940, 4925, 9850, 19700, 24625, 49250, 98500.
What is 98500 in binary?
11000000011000100 (hexadecimal 180C4, octal 300304).
What is the square root of 98500?
About 313.8471, exactly 10√985.
Is 98500 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 98500?
It is a composite number with 24 divisors.