The number 47149
47149 is a twin prime (47147 and 47149 are both prime) and the 4866th prime number. Its only divisors are 1 and 47149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47149: a twin prime (47147 and 47149 are both prime); the 4866th prime number.
- 2
47149 is prime, so its only factors are 1 and 47149. It is the 4866th prime; the next prime is 47161 and the one before is 47147.
- 3
The divisors add up to 47150; without 47149 itself that is 1, so 47149 is deficient (1 is less than 47149). Euler's totient φ(47149) = 47148 numbers up to 47149 share no factor with it.
- 4
The digits of 47149 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
47149 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47150 |
| Euler totient φ(n) | 47148 |
| Square | 2223028201 |
| Cube | 104813556648949 |
| Square root | 217.138205 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7149 × |
47149 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and forty-nine |
| Binary (base 2) | 1011100000101101 |
| Octal (base 8) | 134055 |
| Hexadecimal (base 16) | B82D |
| Base 3 | 2101200021 |
| As time | 47149 seconds = 13 h 5 min 49 s |
Is 47149 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 4) | 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 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 5) | 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 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47149 a prime number?
Yes. 47149 is divisible only by 1 and itself.
What are the factors of 47149?
1, 47149.
What is 47149 in binary?
1011100000101101 (hexadecimal B82D, octal 134055).
What is the square root of 47149?
About 217.1382.
Is 47149 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47149?
47149 is a twin prime (47147 and 47149 are both prime); the 4866th prime number.