The number 98201
98201 is a composite number with 4 divisors. Its prime factorisation is 283 × 347. Divisors (4): 1, 283, 347, 98201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98201: a semiprime: 283 × 347, the product of two primes.
- 2
98201 is composite. Its prime factorisation is
- 3
The divisors add up to 98832; without 98201 itself that is 631, so 98201 is deficient (631 is less than 98201). Euler's totient φ(98201) = 97572 numbers up to 98201 share no factor with it.
- 4
The digits of 98201 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 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98201 = 283 \times 347 \]
98201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 98832 |
| Euler totient φ(n) | 97572 |
| Square | 9643436401 |
| Cube | 946995098014601 |
| Square root | 313.370388 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.8201 × |
98201 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand two hundred and one |
| Binary (base 2) | 10111111110011001 |
| Octal (base 8) | 277631 |
| Hexadecimal (base 16) | 17F99 |
| Base 3 | 11222201002 |
| As time | 98201 seconds = 27 h 16 min 41 s |
Is 98201 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 | No (remainder 5) | 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 | 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 | No (remainder 4) | 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 98201 a prime number?
No. 98201 = 283 × 347, so it is divisible by 283.
What are the factors of 98201?
1, 283, 347, 98201.
What is 98201 in binary?
10111111110011001 (hexadecimal 17F99, octal 277631).
What is the square root of 98201?
About 313.3704.
Is 98201 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 98201?
98201 is a semiprime: 283 × 347, the product of two primes.