The number 48588
48588 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4049. Divisors (12): 1, 2, 3, 4, 6, 12, 4049, 8098, 12147, 16196, 24294, 48588.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48588 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48588 is composite. Its prime factorisation is
- 3
The divisors add up to 113400; without 48588 itself that is 64812, so 48588 is abundant (64812 is more than 48588). Euler's totient φ(48588) = 16192 numbers up to 48588 share no factor with it.
- 4
The digits of 48588 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48588 = 2^{2} \times 3 \times 4049 \]48588 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 113400 |
| Euler totient φ(n) | 16192 |
| Square | 2360793744 |
| Cube | 114706246433472 |
| Square root | 220.426859 (= 2√12147) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8588 × |
48588 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and eighty-eight |
| Binary (base 2) | 1011110111001100 |
| Octal (base 8) | 136714 |
| Hexadecimal (base 16) | BDCC |
| Base 3 | 2110122120 |
| As time | 48588 seconds = 13 h 29 min 48 s |
Is 48588 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48588 ÷ 2 = 24294) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48588 ÷ 3 = 16196) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48588 ÷ 4 = 12147) | 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 (48588 ÷ 6 = 8098) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48588 ÷ 12 = 4049) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48588 a prime number?
No. 48588 = × 3 × 4049, so it is divisible by 2.
What are the factors of 48588?
1, 2, 3, 4, 6, 12, 4049, 8098, 12147, 16196, 24294, 48588.
What is 48588 in binary?
1011110111001100 (hexadecimal BDCC, octal 136714).
What is the square root of 48588?
About 220.4269, exactly 2√12147.
Is 48588 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 48588?
It is a composite number with 12 divisors.