The number 47501
47501 is the 4896th prime number. Its only divisors are 1 and 47501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47501: the 4896th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47501 is prime, so its only factors are 1 and 47501. It is the 4896th prime; the next prime is 47507 and the one before is 47497.
- 3
The divisors add up to 47502; without 47501 itself that is 1, so 47501 is deficient (1 is less than 47501). Euler's totient φ(47501) = 47500 numbers up to 47501 share no factor with it.
- 4
The digits of 47501 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
47501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47502 |
| Euler totient φ(n) | 47500 |
| Square | 2256345001 |
| Cube | 107178643892501 |
| Square root | 217.947241 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7501 × |
47501 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and one |
| Binary (base 2) | 1011100110001101 |
| Octal (base 8) | 134615 |
| Hexadecimal (base 16) | B98D |
| Base 3 | 2102011022 |
| As time | 47501 seconds = 13 h 11 min 41 s |
Is 47501 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 1) | 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 6) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47501 a prime number?
Yes. 47501 is divisible only by 1 and itself.
What are the factors of 47501?
1, 47501.
What is 47501 in binary?
1011100110001101 (hexadecimal B98D, octal 134615).
What is the square root of 47501?
About 217.9472.
Is 47501 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 47501?
47501 is the 4896th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.