The number 47699
47699 is a twin prime (47699 and 47701 are both prime) and the 4916th prime number. Its only divisors are 1 and 47699.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47699: a twin prime (47699 and 47701 are both prime); the 4916th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47699 is prime, so its only factors are 1 and 47699. It is the 4916th prime; the next prime is 47701 and the one before is 47681.
- 3
The divisors add up to 47700; without 47699 itself that is 1, so 47699 is deficient (1 is less than 47699). Euler's totient φ(47699) = 47698 numbers up to 47699 share no factor with it.
- 4
The digits of 47699 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
47699 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47700 |
| Euler totient φ(n) | 47698 |
| Square | 2275194601 |
| Cube | 108524507273099 |
| Square root | 218.401007 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.7699 × |
47699 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and ninety-nine |
| Binary (base 2) | 1011101001010011 |
| Octal (base 8) | 135123 |
| Hexadecimal (base 16) | BA53 |
| Base 3 | 2102102122 |
| As time | 47699 seconds = 13 h 14 min 59 s |
Is 47699 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47699 a prime number?
Yes. 47699 is divisible only by 1 and itself.
What are the factors of 47699?
1, 47699.
What is 47699 in binary?
1011101001010011 (hexadecimal BA53, octal 135123).
What is the square root of 47699?
About 218.4010.
Is 47699 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 47699?
47699 is a twin prime (47699 and 47701 are both prime); the 4916th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.