The number 98021
98021 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 19 × 67. Divisors (16): 1, 7, 11, 19, 67, 77, 133, 209, 469, 737, 1273, 1463, 5159, 8911, 14003, 98021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98021 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98021 is composite. Its prime factorisation is
- 3
The divisors add up to 130560; without 98021 itself that is 32539, so 98021 is deficient (32539 is less than 98021). Euler's totient φ(98021) = 71280 numbers up to 98021 share no factor with it.
- 4
The digits of 98021 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98021 = 7 \times 11 \times 19 \times 67 \]
98021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 130560 |
| Euler totient φ(n) | 71280 |
| Square | 9608116441 |
| Cube | 941797181663261 |
| Square root | 313.083056 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.8021 × |
98021 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and twenty-one |
| Binary (base 2) | 10111111011100101 |
| Octal (base 8) | 277345 |
| Hexadecimal (base 16) | 17EE5 |
| Base 3 | 11222110102 |
| As time | 98021 seconds = 27 h 13 min 41 s |
Is 98021 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (98021 ÷ 7 = 14003) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98021 ÷ 11 = 8911) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98021 a prime number?
No. 98021 = 7 × 11 × 19 × 67, so it is divisible by 7.
What are the factors of 98021?
1, 7, 11, 19, 67, 77, 133, 209, 469, 737, 1273, 1463, 5159, 8911, 14003, 98021.
What is 98021 in binary?
10111111011100101 (hexadecimal 17EE5, octal 277345).
What is the square root of 98021?
About 313.0831.
Is 98021 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 98021?
It is a composite number with 16 divisors.