The number 48618
48618 is a composite number with 24 divisors. Its prime factorisation is 2 × × 37 × 73. Divisors (24): 1, 2, 3, 6, 9, 18, 37, 73, 74, 111, 146, 219, 222, 333, 438, 657 … 48618.
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How to work it out
- 1
48618 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48618 is composite. Its prime factorisation is
- 3
The divisors add up to 109668; without 48618 itself that is 61050, so 48618 is abundant (61050 is more than 48618). Euler's totient φ(48618) = 15552 numbers up to 48618 share no factor with it.
- 4
The digits of 48618 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48618 = 2 \times 3^{2} \times 37 \times 73 \]48618 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 109668 |
| Euler totient φ(n) | 15552 |
| Square | 2363709924 |
| Cube | 114918849085032 |
| Square root | 220.494898 (= 3√5402) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8618 × |
48618 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and eighteen |
| Binary (base 2) | 1011110111101010 |
| Octal (base 8) | 136752 |
| Hexadecimal (base 16) | BDEA |
| Base 3 | 2110200200 |
| As time | 48618 seconds = 13 h 30 min 18 s |
Is 48618 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48618 ÷ 2 = 24309) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48618 ÷ 3 = 16206) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (48618 ÷ 6 = 8103) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48618 ÷ 9 = 5402) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48618 a prime number?
No. 48618 = 2 × × 37 × 73, so it is divisible by 2.
What are the factors of 48618?
1, 2, 3, 6, 9, 18, 37, 73, 74, 111, 146, 219, 222, 333, 438, 657, 666, 1314, 2701, 5402, 8103, 16206, 24309, 48618.
What is 48618 in binary?
1011110111101010 (hexadecimal BDEA, octal 136752).
What is the square root of 48618?
About 220.4949, exactly 3√5402.
Is 48618 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48618?
It is a composite number with 24 divisors.