The number 48521
48521 is a composite number with 6 divisors. Its prime factorisation is Ć 401. Divisors (6): 1, 11, 121, 401, 4411, 48521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48521 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48521 is composite. Its prime factorisation is
- 3
The divisors add up to 53466; without 48521 itself that is 4945, so 48521 is deficient (4945 is less than 48521). Euler's totient Ļ(48521) = 44000 numbers up to 48521 share no factor with it.
- 4
The digits of 48521 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48521 = 11^{2} \times 401 \]48521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 53466 |
| Euler totient Ļ(n) | 44000 |
| Square | 2354287441 |
| Cube | 114232380924761 |
| Square root | 220.274828 (= 11ā401) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8521 Ć |
48521 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and twenty-one |
| Binary (base 2) | 1011110110001001 |
| Octal (base 8) | 136611 |
| Hexadecimal (base 16) | BD89 |
| Base 3 | 2110120002 |
| As time | 48521 seconds = 13 h 28 min 41 s |
Is 48521 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 4) | 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 2) | 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 (48521 Ć· 11 = 4411) | 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 48521 a prime number?
No. 48521 = Ć 401, so it is divisible by 11.
What are the factors of 48521?
1, 11, 121, 401, 4411, 48521.
What is 48521 in binary?
1011110110001001 (hexadecimal BD89, octal 136611).
What is the square root of 48521?
About 220.2748, exactly 11ā401.
Is 48521 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48521?
It is a composite number with 6 divisors.