The number 98001
98001 is a composite number with 6 divisors. Its prime factorisation is × 10889. Divisors (6): 1, 3, 9, 10889, 32667, 98001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98001 is composite. Its prime factorisation is
- 3
The divisors add up to 141570; without 98001 itself that is 43569, so 98001 is deficient (43569 is less than 98001). Euler's totient φ(98001) = 65328 numbers up to 98001 share no factor with it.
- 4
The digits of 98001 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98001 = 3^{2} \times 10889 \]98001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 141570 |
| Euler totient φ(n) | 65328 |
| Square | 9604196001 |
| Cube | 941220812294001 |
| Square root | 313.051114 (= 3√10889) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.8001 × |
98001 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and one |
| Binary (base 2) | 10111111011010001 |
| Octal (base 8) | 277321 |
| Hexadecimal (base 16) | 17ED1 |
| Base 3 | 11222102200 |
| As time | 98001 seconds = 27 h 13 min 21 s |
Is 98001 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 | Yes (98001 ÷ 3 = 32667) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (98001 ÷ 9 = 10889) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98001 a prime number?
No. 98001 = × 10889, so it is divisible by 3.
What are the factors of 98001?
1, 3, 9, 10889, 32667, 98001.
What is 98001 in binary?
10111111011010001 (hexadecimal 17ED1, octal 277321).
What is the square root of 98001?
About 313.0511, exactly 3√10889.
Is 98001 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 98001?
It is a composite number with 6 divisors.