The number 98240
98240 is a composite number with 28 divisors. Its prime factorisation is × 5 × 307. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 307, 320, 614 … 98240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98240 is composite. Its prime factorisation is
- 3
The divisors add up to 234696; without 98240 itself that is 136456, so 98240 is abundant (136456 is more than 98240). Euler's totient φ(98240) = 39168 numbers up to 98240 share no factor with it.
- 4
The digits of 98240 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98240 = 2^{6} \times 5 \times 307 \]98240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 234696 |
| Euler totient φ(n) | 39168 |
| Square | 9651097600 |
| Cube | 948123828224000 |
| Square root | 313.432608 (= 8√1535) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.824 × |
98240 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand two hundred and forty |
| Binary (base 2) | 10111111111000000 |
| Octal (base 8) | 277700 |
| Hexadecimal (base 16) | 17FC0 |
| Base 3 | 11222202112 |
| As time | 98240 seconds = 27 h 17 min 20 s |
Is 98240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98240 ÷ 2 = 49120) | 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 (98240 ÷ 4 = 24560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98240 ÷ 5 = 19648) | 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 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 (98240 ÷ 8 = 12280) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98240 ÷ 10 = 9824) | 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 98240 a prime number?
No. 98240 = × 5 × 307, so it is divisible by 2.
What are the factors of 98240?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 307, 320, 614, 1228, 1535, 2456, 3070, 4912, 6140, 9824, 12280, 19648, 24560, 49120, 98240.
What is 98240 in binary?
10111111111000000 (hexadecimal 17FC0, octal 277700).
What is the square root of 98240?
About 313.4326, exactly 8√1535.
Is 98240 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 98240?
It is a composite number with 28 divisors.