The number 48748
48748 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1741. Divisors (12): 1, 2, 4, 7, 14, 28, 1741, 3482, 6964, 12187, 24374, 48748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48748 is composite. Its prime factorisation is
- 3
The divisors add up to 97552; without 48748 itself that is 48804, so 48748 is abundant (48804 is more than 48748). Euler's totient φ(48748) = 20880 numbers up to 48748 share no factor with it.
- 4
The digits of 48748 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48748 = 2^{2} \times 7 \times 1741 \]48748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 97552 |
| Euler totient φ(n) | 20880 |
| Square | 2376367504 |
| Cube | 115843163084992 |
| Square root | 220.789493 (= 2√12187) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8748 × |
48748 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and forty-eight |
| Binary (base 2) | 1011111001101100 |
| Octal (base 8) | 137154 |
| Hexadecimal (base 16) | BE6C |
| Base 3 | 2110212111 |
| As time | 48748 seconds = 13 h 32 min 28 s |
Is 48748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48748 ÷ 2 = 24374) | 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 | Yes (48748 ÷ 4 = 12187) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48748 ÷ 7 = 6964) | 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 4) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48748 a prime number?
No. 48748 = × 7 × 1741, so it is divisible by 2.
What are the factors of 48748?
1, 2, 4, 7, 14, 28, 1741, 3482, 6964, 12187, 24374, 48748.
What is 48748 in binary?
1011111001101100 (hexadecimal BE6C, octal 137154).
What is the square root of 48748?
About 220.7895, exactly 2√12187.
Is 48748 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 48748?
It is a composite number with 12 divisors.