The number 9241
9241 is a twin prime (9239 and 9241 are both prime) and the 1146th prime number. Its only divisors are 1 and 9241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9241: a twin prime (9239 and 9241 are both prime); the 1146th prime number.
- 2
9241 is prime, so its only factors are 1 and 9241. It is the 1146th prime; the next prime is 9257 and the one before is 9239.
- 3
The divisors add up to 9242; without 9241 itself that is 1, so 9241 is deficient (1 is less than 9241). Euler's totient φ(9241) = 9240 numbers up to 9241 share no factor with it.
- 4
The digits of 9241 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
9241 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9242 |
| Euler totient φ(n) | 9240 |
| Square | 85396081 |
| Cube | 789145184521 |
| Square root | 96.130120 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.241 × |
9241 in other forms
| Form | Value |
|---|---|
| In words | nine thousand two hundred and forty-one |
| Binary (base 2) | 10010000011001 |
| Octal (base 8) | 22031 |
| Hexadecimal (base 16) | 2419 |
| Base 3 | 110200021 |
| As time | 9241 seconds = 2 h 34 min 1 s |
Is 9241 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 1) | 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 9241 a prime number?
Yes. 9241 is divisible only by 1 and itself.
What are the factors of 9241?
1, 9241.
What is 9241 in binary?
10010000011001 (hexadecimal 2419, octal 22031).
What is the square root of 9241?
About 96.1301.
Is 9241 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 9241?
9241 is a twin prime (9239 and 9241 are both prime); the 1146th prime number.