The number 48017
48017 is the 4947th prime number. Its only divisors are 1 and 48017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48017: the 4947th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48017 is prime, so its only factors are 1 and 48017. It is the 4947th prime; the next prime is 48023 and the one before is 47981.
- 3
The divisors add up to 48018; without 48017 itself that is 1, so 48017 is deficient (1 is less than 48017). Euler's totient φ(48017) = 48016 numbers up to 48017 share no factor with it.
- 4
The digits of 48017 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 83 steps to reach 1.
48017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48018 |
| Euler totient φ(n) | 48016 |
| Square | 2305632289 |
| Cube | 110709545620913 |
| Square root | 219.127817 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8017 × |
48017 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and seventeen |
| Binary (base 2) | 1011101110010001 |
| Octal (base 8) | 135621 |
| Hexadecimal (base 16) | BB91 |
| Base 3 | 2102212102 |
| As time | 48017 seconds = 13 h 20 min 17 s |
Is 48017 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 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 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 48017 a prime number?
Yes. 48017 is divisible only by 1 and itself.
What are the factors of 48017?
1, 48017.
What is 48017 in binary?
1011101110010001 (hexadecimal BB91, octal 135621).
What is the square root of 48017?
About 219.1278.
Is 48017 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48017?
48017 is the 4947th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.