The number 48711
48711 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1249. Divisors (8): 1, 3, 13, 39, 1249, 3747, 16237, 48711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48711 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48711 is composite. Its prime factorisation is
- 3
The divisors add up to 70000; without 48711 itself that is 21289, so 48711 is deficient (21289 is less than 48711). Euler's totient φ(48711) = 29952 numbers up to 48711 share no factor with it.
- 4
The digits of 48711 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48711 = 3 \times 13 \times 1249 \]
48711 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 70000 |
| Euler totient φ(n) | 29952 |
| Square | 2372761521 |
| Cube | 115579586449431 |
| Square root | 220.705686 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8711 × |
48711 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and eleven |
| Binary (base 2) | 1011111001000111 |
| Octal (base 8) | 137107 |
| Hexadecimal (base 16) | BE47 |
| Base 3 | 2110211010 |
| As time | 48711 seconds = 13 h 31 min 51 s |
Is 48711 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 | Yes (48711 ÷ 3 = 16237) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48711 a prime number?
No. 48711 = 3 × 13 × 1249, so it is divisible by 3.
What are the factors of 48711?
1, 3, 13, 39, 1249, 3747, 16237, 48711.
What is 48711 in binary?
1011111001000111 (hexadecimal BE47, octal 137107).
What is the square root of 48711?
About 220.7057.
Is 48711 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48711?
It is a composite number with 8 divisors.