The number 48397
48397 is the 4978th prime number. Its only divisors are 1 and 48397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48397: the 4978th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48397 is prime, so its only factors are 1 and 48397. It is the 4978th prime; the next prime is 48407 and the one before is 48383.
- 3
The divisors add up to 48398; without 48397 itself that is 1, so 48397 is deficient (1 is less than 48397). Euler's totient φ(48397) = 48396 numbers up to 48397 share no factor with it.
- 4
The digits of 48397 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
48397 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48398 |
| Euler totient φ(n) | 48396 |
| Square | 2342269609 |
| Cube | 113358822266773 |
| Square root | 219.993182 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8397 × |
48397 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and ninety-seven |
| Binary (base 2) | 1011110100001101 |
| Octal (base 8) | 136415 |
| Hexadecimal (base 16) | BD0D |
| Base 3 | 2110101111 |
| As time | 48397 seconds = 13 h 26 min 37 s |
Is 48397 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 2) | 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 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 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48397 a prime number?
Yes. 48397 is divisible only by 1 and itself.
What are the factors of 48397?
1, 48397.
What is 48397 in binary?
1011110100001101 (hexadecimal BD0D, octal 136415).
What is the square root of 48397?
About 219.9932.
Is 48397 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 48397?
48397 is the 4978th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.