The number 46091
46091 is a twin prime (46091 and 46093 are both prime) and the 4768th prime number. Its only divisors are 1 and 46091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46091: a twin prime (46091 and 46093 are both prime); the 4768th prime number.
- 2
46091 is prime, so its only factors are 1 and 46091. It is the 4768th prime; the next prime is 46093 and the one before is 46073.
- 3
The divisors add up to 46092; without 46091 itself that is 1, so 46091 is deficient (1 is less than 46091). Euler's totient φ(46091) = 46090 numbers up to 46091 share no factor with it.
- 4
The digits of 46091 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
46091 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46092 |
| Euler totient φ(n) | 46090 |
| Square | 2124380281 |
| Cube | 97914811531571 |
| Square root | 214.688146 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6091 × |
46091 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and ninety-one |
| Binary (base 2) | 1011010000001011 |
| Octal (base 8) | 132013 |
| Hexadecimal (base 16) | B40B |
| Base 3 | 2100020002 |
| As time | 46091 seconds = 12 h 48 min 11 s |
Is 46091 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46091 a prime number?
Yes. 46091 is divisible only by 1 and itself.
What are the factors of 46091?
1, 46091.
What is 46091 in binary?
1011010000001011 (hexadecimal B40B, octal 132013).
What is the square root of 46091?
About 214.6881.
Is 46091 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46091?
46091 is a twin prime (46091 and 46093 are both prime); the 4768th prime number.