The number 48660
48660 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 811. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 811, 1622, 2433, 3244 … 48660.
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How to work it out
- 1
48660 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48660 is composite. Its prime factorisation is
- 3
The divisors add up to 136416; without 48660 itself that is 87756, so 48660 is abundant (87756 is more than 48660). Euler's totient φ(48660) = 12960 numbers up to 48660 share no factor with it.
- 4
The digits of 48660 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48660 = 2^{2} \times 3 \times 5 \times 811 \]48660 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 136416 |
| Euler totient φ(n) | 12960 |
| Square | 2367795600 |
| Cube | 115216933896000 |
| Square root | 220.590118 (= 2√12165) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.866 × |
48660 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and sixty |
| Binary (base 2) | 1011111000010100 |
| Octal (base 8) | 137024 |
| Hexadecimal (base 16) | BE14 |
| Base 3 | 2110202020 |
| As time | 48660 seconds = 13 h 31 min 0 s |
Is 48660 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48660 ÷ 2 = 24330) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48660 ÷ 3 = 16220) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48660 ÷ 4 = 12165) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48660 ÷ 5 = 9732) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48660 ÷ 6 = 8110) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48660 ÷ 10 = 4866) | 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 | Yes (48660 ÷ 12 = 4055) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48660 a prime number?
No. 48660 = × 3 × 5 × 811, so it is divisible by 2.
What are the factors of 48660?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 811, 1622, 2433, 3244, 4055, 4866, 8110, 9732, 12165, 16220, 24330, 48660.
What is 48660 in binary?
1011111000010100 (hexadecimal BE14, octal 137024).
What is the square root of 48660?
About 220.5901, exactly 2√12165.
Is 48660 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48660?
It is a composite number with 24 divisors.