The number 48013
48013 is a composite number with 8 divisors. Its prime factorisation is 7 Ć . Divisors (8): 1, 7, 19, 133, 361, 2527, 6859, 48013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48013 is composite. Its prime factorisation is
- 3
The divisors add up to 57920; without 48013 itself that is 9907, so 48013 is deficient (9907 is less than 48013). Euler's totient Ļ(48013) = 38988 numbers up to 48013 share no factor with it.
- 4
The digits of 48013 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48013 = 7 \times 19^{3} \]48013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57920 |
| Euler totient Ļ(n) | 38988 |
| Square | 2305248169 |
| Cube | 110681880338197 |
| Square root | 219.118689 (= 19ā133) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.8013 Ć |
48013 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and thirteen |
| Binary (base 2) | 1011101110001101 |
| Octal (base 8) | 135615 |
| Hexadecimal (base 16) | BB8D |
| Base 3 | 2102212021 |
| As time | 48013 seconds = 13 h 20 min 13 s |
Is 48013 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48013 Ć· 7 = 6859) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48013 a prime number?
No. 48013 = 7 Ć , so it is divisible by 7.
What are the factors of 48013?
1, 7, 19, 133, 361, 2527, 6859, 48013.
What is 48013 in binary?
1011101110001101 (hexadecimal BB8D, octal 135615).
What is the square root of 48013?
About 219.1187, exactly 19ā133.
Is 48013 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 48013?
It is a composite number with 8 divisors.