The number 9091
9091 is the 1128th prime number. Its only divisors are 1 and 9091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9091: the 1128th prime number.
- 2
9091 is prime, so its only factors are 1 and 9091. It is the 1128th prime; the next prime is 9103 and the one before is 9067.
- 3
The divisors add up to 9092; without 9091 itself that is 1, so 9091 is deficient (1 is less than 9091). Euler's totient φ(9091) = 9090 numbers up to 9091 share no factor with it.
- 4
The digits of 9091 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 140 steps to reach 1.
9091 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9092 |
| Euler totient φ(n) | 9090 |
| Square | 82646281 |
| Cube | 751337340571 |
| Square root | 95.346736 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 9.091 × |
9091 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and ninety-one |
| Binary (base 2) | 10001110000011 |
| Octal (base 8) | 21603 |
| Hexadecimal (base 16) | 2383 |
| Base 3 | 110110201 |
| As time | 9091 seconds = 2 h 31 min 31 s |
Is 9091 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 3) | 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 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 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9091 a prime number?
Yes. 9091 is divisible only by 1 and itself.
What are the factors of 9091?
1, 9091.
What is 9091 in binary?
10001110000011 (hexadecimal 2383, octal 21603).
What is the square root of 9091?
About 95.3467.
Is 9091 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9091?
9091 is the 1128th prime number.