The number 48037
48037 is a composite number with 6 divisors. Its prime factorisation is Ć 397. Divisors (6): 1, 11, 121, 397, 4367, 48037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48037 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48037 is composite. Its prime factorisation is
- 3
The divisors add up to 52934; without 48037 itself that is 4897, so 48037 is deficient (4897 is less than 48037). Euler's totient Ļ(48037) = 43560 numbers up to 48037 share no factor with it.
- 4
The digits of 48037 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48037 = 11^{2} \times 397 \]48037 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 52934 |
| Euler totient Ļ(n) | 43560 |
| Square | 2307553369 |
| Cube | 110847941186653 |
| Square root | 219.173447 (= 11ā397) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8037 Ć |
48037 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and thirty-seven |
| Binary (base 2) | 1011101110100101 |
| Octal (base 8) | 135645 |
| Hexadecimal (base 16) | BBA5 |
| Base 3 | 2102220011 |
| As time | 48037 seconds = 13 h 20 min 37 s |
Is 48037 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 2) | 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 | No (remainder 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48037 Ć· 11 = 4367) | 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 48037 a prime number?
No. 48037 = Ć 397, so it is divisible by 11.
What are the factors of 48037?
1, 11, 121, 397, 4367, 48037.
What is 48037 in binary?
1011101110100101 (hexadecimal BBA5, octal 135645).
What is the square root of 48037?
About 219.1734, exactly 11ā397.
Is 48037 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48037?
It is a composite number with 6 divisors.