The number 48671
48671 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 409. Divisors (8): 1, 7, 17, 119, 409, 2863, 6953, 48671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48671 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48671 is composite. Its prime factorisation is
- 3
The divisors add up to 59040; without 48671 itself that is 10369, so 48671 is deficient (10369 is less than 48671). Euler's totient φ(48671) = 39168 numbers up to 48671 share no factor with it.
- 4
The digits of 48671 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.
LaTeX source of the formulas on this page
\[ 48671 = 7 \times 17 \times 409 \]
48671 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59040 |
| Euler totient φ(n) | 39168 |
| Square | 2368866241 |
| Cube | 115295088815711 |
| Square root | 220.615049 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.8671 × |
48671 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and seventy-one |
| Binary (base 2) | 1011111000011111 |
| Octal (base 8) | 137037 |
| Hexadecimal (base 16) | BE1F |
| Base 3 | 2110202122 |
| As time | 48671 seconds = 13 h 31 min 11 s |
Is 48671 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48671 ÷ 7 = 6953) | 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 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48671 a prime number?
No. 48671 = 7 × 17 × 409, so it is divisible by 7.
What are the factors of 48671?
1, 7, 17, 119, 409, 2863, 6953, 48671.
What is 48671 in binary?
1011111000011111 (hexadecimal BE1F, octal 137037).
What is the square root of 48671?
About 220.6150.
Is 48671 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48671?
It is a composite number with 8 divisors.