The number 46049
46049 is a twin prime (46049 and 46051 are both prime) and the 4764th prime number. Its only divisors are 1 and 46049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46049: a twin prime (46049 and 46051 are both prime); the 4764th prime number.
- 2
46049 is prime, so its only factors are 1 and 46049. It is the 4764th prime; the next prime is 46051 and the one before is 46027.
- 3
The divisors add up to 46050; without 46049 itself that is 1, so 46049 is deficient (1 is less than 46049). Euler's totient φ(46049) = 46048 numbers up to 46049 share no factor with it.
- 4
The digits of 46049 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
46049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46050 |
| Euler totient φ(n) | 46048 |
| Square | 2120510401 |
| Cube | 97647383455649 |
| Square root | 214.590307 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6049 × |
46049 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and forty-nine |
| Binary (base 2) | 1011001111100001 |
| Octal (base 8) | 131741 |
| Hexadecimal (base 16) | B3E1 |
| Base 3 | 2100011112 |
| As time | 46049 seconds = 12 h 47 min 29 s |
Is 46049 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 4) | 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 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46049 a prime number?
Yes. 46049 is divisible only by 1 and itself.
What are the factors of 46049?
1, 46049.
What is 46049 in binary?
1011001111100001 (hexadecimal B3E1, octal 131741).
What is the square root of 46049?
About 214.5903.
Is 46049 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 46049?
46049 is a twin prime (46049 and 46051 are both prime); the 4764th prime number.