The number 98800
98800 is a composite number with 60 divisors. Its prime factorisation is × × 13 × 19. Divisors (60): 1, 2, 4, 5, 8, 10, 13, 16, 19, 20, 25, 26, 38, 40, 50, 52 … 98800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98800: a Harshad number: divisible by its digit sum 25.
- 2
98800 is composite. Its prime factorisation is
- 3
The divisors add up to 269080; without 98800 itself that is 170280, so 98800 is abundant (170280 is more than 98800). Euler's totient φ(98800) = 34560 numbers up to 98800 share no factor with it.
- 4
The digits of 98800 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98800 = 2^{4} \times 5^{2} \times 13 \times 19 \]98800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 269080 |
| Euler totient φ(n) | 34560 |
| Square | 9761440000 |
| Cube | 964430272000000 |
| Square root | 314.324673 (= 20√247) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.88 × |
98800 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand eight hundred |
| Binary (base 2) | 11000000111110000 |
| Octal (base 8) | 300760 |
| Hexadecimal (base 16) | 181F0 |
| Base 3 | 12000112021 |
| As time | 98800 seconds = 27 h 26 min 40 s |
Is 98800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98800 ÷ 2 = 49400) | 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 (98800 ÷ 4 = 24700) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98800 ÷ 5 = 19760) | 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 2) | 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 (98800 ÷ 8 = 12350) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98800 ÷ 10 = 9880) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 98800 a prime number?
No. 98800 = × × 13 × 19, so it is divisible by 2.
What are the factors of 98800?
1, 2, 4, 5, 8, 10, 13, 16, 19, 20, 25, 26, 38, 40, 50, 52, 65, 76, 80, 95, 100, 104, 130, 152, 190, 200, 208, 247, 260, 304, 325, 380, 400, 475, 494, 520, 650, 760, 950, 988, 1040, 1235, 1300, 1520, 1900, 1976, 2470, 2600, 3800, 3952, 4940, 5200, 6175, 7600, 9880, 12350, 19760, 24700, 49400, 98800.
What is 98800 in binary?
11000000111110000 (hexadecimal 181F0, octal 300760).
What is the square root of 98800?
About 314.3247, exactly 20√247.
Is 98800 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 98800?
98800 is a Harshad number: divisible by its digit sum 25.