The number 48761
48761 is the 5013th prime number. Its only divisors are 1 and 48761.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48761: the 5013th prime number.
- 2
48761 is prime, so its only factors are 1 and 48761. It is the 5013th prime; the next prime is 48767 and the one before is 48757.
- 3
The divisors add up to 48762; without 48761 itself that is 1, so 48761 is deficient (1 is less than 48761). Euler's totient φ(48761) = 48760 numbers up to 48761 share no factor with it.
- 4
The digits of 48761 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
48761 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48762 |
| Euler totient φ(n) | 48760 |
| Square | 2377635121 |
| Cube | 115935866135081 |
| Square root | 220.818930 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.8761 × |
48761 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and sixty-one |
| Binary (base 2) | 1011111001111001 |
| Octal (base 8) | 137171 |
| Hexadecimal (base 16) | BE79 |
| Base 3 | 2110212222 |
| As time | 48761 seconds = 13 h 32 min 41 s |
Is 48761 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 1) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 48761 a prime number?
Yes. 48761 is divisible only by 1 and itself.
What are the factors of 48761?
1, 48761.
What is 48761 in binary?
1011111001111001 (hexadecimal BE79, octal 137171).
What is the square root of 48761?
About 220.8189.
Is 48761 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48761?
48761 is the 5013th prime number.