The number 47507
47507 is the 4897th prime number. Its only divisors are 1 and 47507.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47507: the 4897th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47507 is prime, so its only factors are 1 and 47507. It is the 4897th prime; the next prime is 47513 and the one before is 47501.
- 3
The divisors add up to 47508; without 47507 itself that is 1, so 47507 is deficient (1 is less than 47507). Euler's totient φ(47507) = 47506 numbers up to 47507 share no factor with it.
- 4
The digits of 47507 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 101 steps to reach 1.
47507 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47508 |
| Euler totient φ(n) | 47506 |
| Square | 2256915049 |
| Cube | 107219263232843 |
| Square root | 217.961006 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7507 × |
47507 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and seven |
| Binary (base 2) | 1011100110010011 |
| Octal (base 8) | 134623 |
| Hexadecimal (base 16) | B993 |
| Base 3 | 2102011112 |
| As time | 47507 seconds = 13 h 11 min 47 s |
Is 47507 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 2) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 47507 a prime number?
Yes. 47507 is divisible only by 1 and itself.
What are the factors of 47507?
1, 47507.
What is 47507 in binary?
1011100110010011 (hexadecimal B993, octal 134623).
What is the square root of 47507?
About 217.9610.
Is 47507 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47507?
47507 is the 4897th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.