The number 98900
98900 is a composite number with 36 divisors. Its prime factorisation is × × 23 × 43. Divisors (36): 1, 2, 4, 5, 10, 20, 23, 25, 43, 46, 50, 86, 92, 100, 115, 172 … 98900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98900: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
98900 is composite. Its prime factorisation is
- 3
The divisors add up to 229152; without 98900 itself that is 130252, so 98900 is abundant (130252 is more than 98900). Euler's totient φ(98900) = 36960 numbers up to 98900 share no factor with it.
- 4
The digits of 98900 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98900 = 2^{2} \times 5^{2} \times 23 \times 43 \]98900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 229152 |
| Euler totient φ(n) | 36960 |
| Square | 9781210000 |
| Cube | 967361669000000 |
| Square root | 314.483704 (= 10√989) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.89 × |
98900 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred |
| Binary (base 2) | 11000001001010100 |
| Octal (base 8) | 301124 |
| Hexadecimal (base 16) | 18254 |
| Base 3 | 12000122222 |
| As time | 98900 seconds = 27 h 28 min 20 s |
Is 98900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98900 ÷ 2 = 49450) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98900 ÷ 4 = 24725) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98900 ÷ 5 = 19780) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98900 ÷ 10 = 9890) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98900 a prime number?
No. 98900 = × × 23 × 43, so it is divisible by 2.
What are the factors of 98900?
1, 2, 4, 5, 10, 20, 23, 25, 43, 46, 50, 86, 92, 100, 115, 172, 215, 230, 430, 460, 575, 860, 989, 1075, 1150, 1978, 2150, 2300, 3956, 4300, 4945, 9890, 19780, 24725, 49450, 98900.
What is 98900 in binary?
11000001001010100 (hexadecimal 18254, octal 301124).
What is the square root of 98900?
About 314.4837, exactly 10√989.
Is 98900 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 98900?
98900 is a happy number: repeatedly adding the squares of its digits reaches 1.