The number 9041
9041 is a twin prime (9041 and 9043 are both prime) and the 1123rd prime number. Its only divisors are 1 and 9041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9041: a twin prime (9041 and 9043 are both prime); the 1123rd prime number.
- 2
9041 is prime, so its only factors are 1 and 9041. It is the 1123rd prime; the next prime is 9043 and the one before is 9029.
- 3
The divisors add up to 9042; without 9041 itself that is 1, so 9041 is deficient (1 is less than 9041). Euler's totient φ(9041) = 9040 numbers up to 9041 share no factor with it.
- 4
The digits of 9041 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
9041 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9042 |
| Euler totient φ(n) | 9040 |
| Square | 81739681 |
| Cube | 739008455921 |
| Square root | 95.084173 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 184 |
| Scientific notation | 9.041 × |
9041 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and forty-one |
| Binary (base 2) | 10001101010001 |
| Octal (base 8) | 21521 |
| Hexadecimal (base 16) | 2351 |
| Base 3 | 110101212 |
| As time | 9041 seconds = 2 h 30 min 41 s |
Is 9041 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 4) | 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 5) | 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 10) | 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 9041 a prime number?
Yes. 9041 is divisible only by 1 and itself.
What are the factors of 9041?
1, 9041.
What is 9041 in binary?
10001101010001 (hexadecimal 2351, octal 21521).
What is the square root of 9041?
About 95.0842.
Is 9041 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 9041?
9041 is a twin prime (9041 and 9043 are both prime); the 1123rd prime number.