The number 48441
48441 is a composite number with 8 divisors. Its prime factorisation is 3 × 67 × 241. Divisors (8): 1, 3, 67, 201, 241, 723, 16147, 48441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48441 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48441 is composite. Its prime factorisation is
- 3
The divisors add up to 65824; without 48441 itself that is 17383, so 48441 is deficient (17383 is less than 48441). Euler's totient φ(48441) = 31680 numbers up to 48441 share no factor with it.
- 4
The digits of 48441 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48441 = 3 \times 67 \times 241 \]
48441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65824 |
| Euler totient φ(n) | 31680 |
| Square | 2346530481 |
| Cube | 113668283030121 |
| Square root | 220.093162 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8441 × |
48441 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and forty-one |
| Binary (base 2) | 1011110100111001 |
| Octal (base 8) | 136471 |
| Hexadecimal (base 16) | BD39 |
| Base 3 | 2110110010 |
| As time | 48441 seconds = 13 h 27 min 21 s |
Is 48441 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 (48441 ÷ 3 = 16147) | 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 | 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 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 8) | 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 48441 a prime number?
No. 48441 = 3 × 67 × 241, so it is divisible by 3.
What are the factors of 48441?
1, 3, 67, 201, 241, 723, 16147, 48441.
What is 48441 in binary?
1011110100111001 (hexadecimal BD39, octal 136471).
What is the square root of 48441?
About 220.0932.
Is 48441 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48441?
It is a composite number with 8 divisors.