The number 48947
48947 is the 5031st prime number. Its only divisors are 1 and 48947.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48947: the 5031st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48947 is prime, so its only factors are 1 and 48947. It is the 5031st prime; the next prime is 48953 and the one before is 48907.
- 3
The divisors add up to 48948; without 48947 itself that is 1, so 48947 is deficient (1 is less than 48947). Euler's totient φ(48947) = 48946 numbers up to 48947 share no factor with it.
- 4
The digits of 48947 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
48947 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48948 |
| Euler totient φ(n) | 48946 |
| Square | 2395808809 |
| Cube | 117267653774123 |
| Square root | 221.239689 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8947 × |
48947 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and forty-seven |
| Binary (base 2) | 1011111100110011 |
| Octal (base 8) | 137463 |
| Hexadecimal (base 16) | BF33 |
| Base 3 | 2111010212 |
| As time | 48947 seconds = 13 h 35 min 47 s |
Is 48947 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 3) | 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 8) | 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 48947 a prime number?
Yes. 48947 is divisible only by 1 and itself.
What are the factors of 48947?
1, 48947.
What is 48947 in binary?
1011111100110011 (hexadecimal BF33, octal 137463).
What is the square root of 48947?
About 221.2397.
Is 48947 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48947?
48947 is the 5031st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.