The number 48049
48049 is the 4950th prime number. Its only divisors are 1 and 48049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48049: the 4950th prime number.
- 2
48049 is prime, so its only factors are 1 and 48049. It is the 4950th prime; the next prime is 48073 and the one before is 48029.
- 3
The divisors add up to 48050; without 48049 itself that is 1, so 48049 is deficient (1 is less than 48049). Euler's totient φ(48049) = 48048 numbers up to 48049 share no factor with it.
- 4
The digits of 48049 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
48049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48050 |
| Euler totient φ(n) | 48048 |
| Square | 2308706401 |
| Cube | 110931033861649 |
| Square root | 219.200821 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8049 × |
48049 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and forty-nine |
| Binary (base 2) | 1011101110110001 |
| Octal (base 8) | 135661 |
| Hexadecimal (base 16) | BBB1 |
| Base 3 | 2102220121 |
| As time | 48049 seconds = 13 h 20 min 49 s |
Is 48049 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 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 1) | 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 7) | 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 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 48049 a prime number?
Yes. 48049 is divisible only by 1 and itself.
What are the factors of 48049?
1, 48049.
What is 48049 in binary?
1011101110110001 (hexadecimal BBB1, octal 135661).
What is the square root of 48049?
About 219.2008.
Is 48049 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48049?
48049 is the 4950th prime number.