The number 97441
97441 is the 9371st prime number. Its only divisors are 1 and 97441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97441: the 9371st prime number.
- 2
97441 is prime, so its only factors are 1 and 97441. It is the 9371st prime; the next prime is 97453 and the one before is 97429.
- 3
The divisors add up to 97442; without 97441 itself that is 1, so 97441 is deficient (1 is less than 97441). Euler's totient φ(97441) = 97440 numbers up to 97441 share no factor with it.
- 4
The digits of 97441 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
97441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97442 |
| Euler totient φ(n) | 97440 |
| Square | 9494748481 |
| Cube | 925177786737121 |
| Square root | 312.155410 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 177 |
| Scientific notation | 9.7441 × |
97441 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and forty-one |
| Binary (base 2) | 10111110010100001 |
| Octal (base 8) | 276241 |
| Hexadecimal (base 16) | 17CA1 |
| Base 3 | 11221122221 |
| As time | 97441 seconds = 27 h 4 min 1 s |
Is 97441 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 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 | No (remainder 7) | 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 3) | 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 97441 a prime number?
Yes. 97441 is divisible only by 1 and itself.
What are the factors of 97441?
1, 97441.
What is 97441 in binary?
10111110010100001 (hexadecimal 17CA1, octal 276241).
What is the square root of 97441?
About 312.1554.
Is 97441 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97441?
97441 is the 9371st prime number.