The number 47629
47629 is the 4910th prime number. Its only divisors are 1 and 47629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47629: the 4910th prime number.
- 2
47629 is prime, so its only factors are 1 and 47629. It is the 4910th prime; the next prime is 47639 and the one before is 47623.
- 3
The divisors add up to 47630; without 47629 itself that is 1, so 47629 is deficient (1 is less than 47629). Euler's totient φ(47629) = 47628 numbers up to 47629 share no factor with it.
- 4
The digits of 47629 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
47629 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47630 |
| Euler totient φ(n) | 47628 |
| Square | 2268521641 |
| Cube | 108047417239189 |
| Square root | 218.240693 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7629 × |
47629 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and twenty-nine |
| Binary (base 2) | 1011101000001101 |
| Octal (base 8) | 135015 |
| Hexadecimal (base 16) | BA0D |
| Base 3 | 2102100001 |
| As time | 47629 seconds = 13 h 13 min 49 s |
Is 47629 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 1) | 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 1) | 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 10) | 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 47629 a prime number?
Yes. 47629 is divisible only by 1 and itself.
What are the factors of 47629?
1, 47629.
What is 47629 in binary?
1011101000001101 (hexadecimal BA0D, octal 135015).
What is the square root of 47629?
About 218.2407.
Is 47629 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 47629?
47629 is the 4910th prime number.