The number 47513
47513 is the 4898th prime number. Its only divisors are 1 and 47513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47513: the 4898th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47513 is prime, so its only factors are 1 and 47513. It is the 4898th prime; the next prime is 47521 and the one before is 47507.
- 3
The divisors add up to 47514; without 47513 itself that is 1, so 47513 is deficient (1 is less than 47513). Euler's totient φ(47513) = 47512 numbers up to 47513 share no factor with it.
- 4
The digits of 47513 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
47513 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47514 |
| Euler totient φ(n) | 47512 |
| Square | 2257485169 |
| Cube | 107259892834697 |
| Square root | 217.974769 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7513 × |
47513 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and thirteen |
| Binary (base 2) | 1011100110011001 |
| Octal (base 8) | 134631 |
| Hexadecimal (base 16) | B999 |
| Base 3 | 2102011202 |
| As time | 47513 seconds = 13 h 11 min 53 s |
Is 47513 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 3) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 47513 a prime number?
Yes. 47513 is divisible only by 1 and itself.
What are the factors of 47513?
1, 47513.
What is 47513 in binary?
1011100110011001 (hexadecimal B999, octal 134631).
What is the square root of 47513?
About 217.9748.
Is 47513 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47513?
47513 is the 4898th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.