The number 48648
48648 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2027. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2027, 4054, 6081, 8108, 12162, 16216, 24324, 48648.
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How to work it out
- 1
48648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48648 is composite. Its prime factorisation is
- 3
The divisors add up to 121680; without 48648 itself that is 73032, so 48648 is abundant (73032 is more than 48648). Euler's totient φ(48648) = 16208 numbers up to 48648 share no factor with it.
- 4
The digits of 48648 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48648 = 2^{3} \times 3 \times 2027 \]48648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 121680 |
| Euler totient φ(n) | 16208 |
| Square | 2366627904 |
| Cube | 115131714273792 |
| Square root | 220.562916 (= 2√12162) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8648 × |
48648 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and forty-eight |
| Binary (base 2) | 1011111000001000 |
| Octal (base 8) | 137010 |
| Hexadecimal (base 16) | BE08 |
| Base 3 | 2110201210 |
| As time | 48648 seconds = 13 h 30 min 48 s |
Is 48648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48648 ÷ 2 = 24324) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48648 ÷ 3 = 16216) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48648 ÷ 4 = 12162) | 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 | Yes (48648 ÷ 6 = 8108) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (48648 ÷ 8 = 6081) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48648 ÷ 12 = 4054) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48648 a prime number?
No. 48648 = × 3 × 2027, so it is divisible by 2.
What are the factors of 48648?
1, 2, 3, 4, 6, 8, 12, 24, 2027, 4054, 6081, 8108, 12162, 16216, 24324, 48648.
What is 48648 in binary?
1011111000001000 (hexadecimal BE08, octal 137010).
What is the square root of 48648?
About 220.5629, exactly 2√12162.
Is 48648 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48648?
It is a composite number with 16 divisors.