The number 48737
48737 is a composite number with 8 divisors. Its prime factorisation is 13 × 23 × 163. Divisors (8): 1, 13, 23, 163, 299, 2119, 3749, 48737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48737 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48737 is composite. Its prime factorisation is
- 3
The divisors add up to 55104; without 48737 itself that is 6367, so 48737 is deficient (6367 is less than 48737). Euler's totient φ(48737) = 42768 numbers up to 48737 share no factor with it.
- 4
The digits of 48737 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48737 = 13 \times 23 \times 163 \]
48737 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55104 |
| Euler totient φ(n) | 42768 |
| Square | 2375295169 |
| Cube | 115764760651553 |
| Square root | 220.764580 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8737 × |
48737 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and thirty-seven |
| Binary (base 2) | 1011111001100001 |
| Octal (base 8) | 137141 |
| Hexadecimal (base 16) | BE61 |
| Base 3 | 2110212002 |
| As time | 48737 seconds = 13 h 32 min 17 s |
Is 48737 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 2) | 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 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 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 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48737 a prime number?
No. 48737 = 13 × 23 × 163, so it is divisible by 13.
What are the factors of 48737?
1, 13, 23, 163, 299, 2119, 3749, 48737.
What is 48737 in binary?
1011111001100001 (hexadecimal BE61, octal 137141).
What is the square root of 48737?
About 220.7646.
Is 48737 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 48737?
It is a composite number with 8 divisors.