The number 98200
98200 is a composite number with 24 divisors. Its prime factorisation is × × 491. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 491, 982, 1964, 2455 … 98200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98200 is composite. Its prime factorisation is
- 3
The divisors add up to 228780; without 98200 itself that is 130580, so 98200 is abundant (130580 is more than 98200). Euler's totient φ(98200) = 39200 numbers up to 98200 share no factor with it.
- 4
The digits of 98200 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98200 = 2^{3} \times 5^{2} \times 491 \]98200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 228780 |
| Euler totient φ(n) | 39200 |
| Square | 9643240000 |
| Cube | 946966168000000 |
| Square root | 313.368792 (= 10√982) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.82 × |
98200 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand two hundred |
| Binary (base 2) | 10111111110011000 |
| Octal (base 8) | 277630 |
| Hexadecimal (base 16) | 17F98 |
| Base 3 | 11222201001 |
| As time | 98200 seconds = 27 h 16 min 40 s |
Is 98200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98200 ÷ 2 = 49100) | 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 (98200 ÷ 4 = 24550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98200 ÷ 5 = 19640) | 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 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 (98200 ÷ 8 = 12275) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98200 ÷ 10 = 9820) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 98200 a prime number?
No. 98200 = × × 491, so it is divisible by 2.
What are the factors of 98200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 491, 982, 1964, 2455, 3928, 4910, 9820, 12275, 19640, 24550, 49100, 98200.
What is 98200 in binary?
10111111110011000 (hexadecimal 17F98, octal 277630).
What is the square root of 98200?
About 313.3688, exactly 10√982.
Is 98200 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 98200?
It is a composite number with 24 divisors.