The number 9800
9800 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56 … 9800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9800 is composite. Its prime factorisation is
- 3
The divisors add up to 26505; without 9800 itself that is 16705, so 9800 is abundant (16705 is more than 9800). Euler's totient φ(9800) = 3360 numbers up to 9800 share no factor with it.
- 4
The digits of 9800 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9800 = 2^{3} \times 5^{2} \times 7^{2} \]9800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 26505 |
| Euler totient φ(n) | 3360 |
| Square | 96040000 |
| Cube | 941192000000 |
| Square root | 98.994949 (= 70√2) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.8 × |
9800 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred |
| Binary (base 2) | 10011001001000 |
| Octal (base 8) | 23110 |
| Hexadecimal (base 16) | 2648 |
| Base 3 | 111102222 |
| As time | 9800 seconds = 2 h 43 min 20 s |
Is 9800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9800 ÷ 2 = 4900) | 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 (9800 ÷ 4 = 2450) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9800 ÷ 5 = 1960) | 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 | Yes (9800 ÷ 7 = 1400) | 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 (9800 ÷ 8 = 1225) | 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 (9800 ÷ 10 = 980) | 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 9800 a prime number?
No. 9800 = × × , so it is divisible by 2.
What are the factors of 9800?
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800.
What is 9800 in binary?
10011001001000 (hexadecimal 2648, octal 23110).
What is the square root of 9800?
About 98.9949, exactly 70√2.
Is 9800 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 9800?
It is a composite number with 36 divisors.