The number 48741
48741 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 211. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 211, 231, 633, 1477, 2321, 4431, 6963, 16247, 48741.
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How to work it out
- 1
48741 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48741 is composite. Its prime factorisation is
- 3
The divisors add up to 81408; without 48741 itself that is 32667, so 48741 is deficient (32667 is less than 48741). Euler's totient φ(48741) = 25200 numbers up to 48741 share no factor with it.
- 4
The digits of 48741 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48741 = 3 \times 7 \times 11 \times 211 \]
48741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 81408 |
| Euler totient φ(n) | 25200 |
| Square | 2375685081 |
| Cube | 115793266533021 |
| Square root | 220.773640 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.8741 × |
48741 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and forty-one |
| Binary (base 2) | 1011111001100101 |
| Octal (base 8) | 137145 |
| Hexadecimal (base 16) | BE65 |
| Base 3 | 2110212020 |
| As time | 48741 seconds = 13 h 32 min 21 s |
Is 48741 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 (48741 ÷ 3 = 16247) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48741 ÷ 7 = 6963) | 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 6) | 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 | Yes (48741 ÷ 11 = 4431) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48741 a prime number?
No. 48741 = 3 × 7 × 11 × 211, so it is divisible by 3.
What are the factors of 48741?
1, 3, 7, 11, 21, 33, 77, 211, 231, 633, 1477, 2321, 4431, 6963, 16247, 48741.
What is 48741 in binary?
1011111001100101 (hexadecimal BE65, octal 137145).
What is the square root of 48741?
About 220.7736.
Is 48741 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48741?
It is a composite number with 16 divisors.