The number 47129
47129 is the 4862nd prime number. Its only divisors are 1 and 47129.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47129: the 4862nd prime number.
- 2
47129 is prime, so its only factors are 1 and 47129. It is the 4862nd prime; the next prime is 47137 and the one before is 47123.
- 3
The divisors add up to 47130; without 47129 itself that is 1, so 47129 is deficient (1 is less than 47129). Euler's totient φ(47129) = 47128 numbers up to 47129 share no factor with it.
- 4
The digits of 47129 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 282 steps to reach 1.
47129 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47130 |
| Euler totient φ(n) | 47128 |
| Square | 2221142641 |
| Cube | 104680231527689 |
| Square root | 217.092146 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 282 |
| Scientific notation | 4.7129 × |
47129 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and twenty-nine |
| Binary (base 2) | 1011100000011001 |
| Octal (base 8) | 134031 |
| Hexadecimal (base 16) | B819 |
| Base 3 | 2101122112 |
| As time | 47129 seconds = 13 h 5 min 29 s |
Is 47129 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 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 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 5) | 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 47129 a prime number?
Yes. 47129 is divisible only by 1 and itself.
What are the factors of 47129?
1, 47129.
What is 47129 in binary?
1011100000011001 (hexadecimal B819, octal 134031).
What is the square root of 47129?
About 217.0921.
Is 47129 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47129?
47129 is the 4862nd prime number.