The number 48799
48799 is the 5018th prime number. Its only divisors are 1 and 48799.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48799: the 5018th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48799 is prime, so its only factors are 1 and 48799. It is the 5018th prime; the next prime is 48809 and the one before is 48787.
- 3
The divisors add up to 48800; without 48799 itself that is 1, so 48799 is deficient (1 is less than 48799). Euler's totient φ(48799) = 48798 numbers up to 48799 share no factor with it.
- 4
The digits of 48799 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
48799 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48800 |
| Euler totient φ(n) | 48798 |
| Square | 2381342401 |
| Cube | 116207127826399 |
| Square root | 220.904957 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8799 × |
48799 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and ninety-nine |
| Binary (base 2) | 1011111010011111 |
| Octal (base 8) | 137237 |
| Hexadecimal (base 16) | BE9F |
| Base 3 | 2110221101 |
| As time | 48799 seconds = 13 h 33 min 19 s |
Is 48799 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 7) | 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 9) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48799 a prime number?
Yes. 48799 is divisible only by 1 and itself.
What are the factors of 48799?
1, 48799.
What is 48799 in binary?
1011111010011111 (hexadecimal BE9F, octal 137237).
What is the square root of 48799?
About 220.9050.
Is 48799 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 48799?
48799 is the 5018th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.