The number 97201
97201 is a composite number with 4 divisors. Its prime factorisation is 13 × 7477. Divisors (4): 1, 13, 7477, 97201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97201: a semiprime: 13 × 7477, the product of two primes.
- 2
97201 is composite. Its prime factorisation is
- 3
The divisors add up to 104692; without 97201 itself that is 7491, so 97201 is deficient (7491 is less than 97201). Euler's totient φ(97201) = 89712 numbers up to 97201 share no factor with it.
- 4
The digits of 97201 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97201 = 13 \times 7477 \]
97201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 104692 |
| Euler totient φ(n) | 89712 |
| Square | 9448034401 |
| Cube | 918358391811601 |
| Square root | 311.770749 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7201 × |
97201 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and one |
| Binary (base 2) | 10111101110110001 |
| Octal (base 8) | 275661 |
| Hexadecimal (base 16) | 17BB1 |
| Base 3 | 11221100001 |
| As time | 97201 seconds = 27 h 0 min 1 s |
Is 97201 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97201 a prime number?
No. 97201 = 13 × 7477, so it is divisible by 13.
What are the factors of 97201?
1, 13, 7477, 97201.
What is 97201 in binary?
10111101110110001 (hexadecimal 17BB1, octal 275661).
What is the square root of 97201?
About 311.7707.
Is 97201 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 97201?
97201 is a semiprime: 13 × 7477, the product of two primes.