The number 47521
47521 is the 4899th prime number. Its only divisors are 1 and 47521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47521: the 4899th prime number.
- 2
47521 is prime, so its only factors are 1 and 47521. It is the 4899th prime; the next prime is 47527 and the one before is 47513.
- 3
The divisors add up to 47522; without 47521 itself that is 1, so 47521 is deficient (1 is less than 47521). Euler's totient φ(47521) = 47520 numbers up to 47521 share no factor with it.
- 4
The digits of 47521 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
47521 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47522 |
| Euler totient φ(n) | 47520 |
| Square | 2258245441 |
| Cube | 107314081601761 |
| Square root | 217.993119 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7521 × |
47521 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and twenty-one |
| Binary (base 2) | 1011100110100001 |
| Octal (base 8) | 134641 |
| Hexadecimal (base 16) | B9A1 |
| Base 3 | 2102012001 |
| As time | 47521 seconds = 13 h 12 min 1 s |
Is 47521 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 1) | 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 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 47521 a prime number?
Yes. 47521 is divisible only by 1 and itself.
What are the factors of 47521?
1, 47521.
What is 47521 in binary?
1011100110100001 (hexadecimal B9A1, octal 134641).
What is the square root of 47521?
About 217.9931.
Is 47521 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47521?
47521 is the 4899th prime number.