The number 48032
48032 is a composite number with 24 divisors. Its prime factorisation is × 19 × 79. Divisors (24): 1, 2, 4, 8, 16, 19, 32, 38, 76, 79, 152, 158, 304, 316, 608, 632 … 48032.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48032 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48032 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 48032 itself that is 52768, so 48032 is abundant (52768 is more than 48032). Euler's totient φ(48032) = 22464 numbers up to 48032 share no factor with it.
- 4
The digits of 48032 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48032 = 2^{5} \times 19 \times 79 \]48032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 22464 |
| Square | 2307073024 |
| Cube | 110813331488768 |
| Square root | 219.162041 (= 4√3002) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.8032 × |
48032 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and thirty-two |
| Binary (base 2) | 1011101110100000 |
| Octal (base 8) | 135640 |
| Hexadecimal (base 16) | BBA0 |
| Base 3 | 2102212222 |
| As time | 48032 seconds = 13 h 20 min 32 s |
Is 48032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48032 ÷ 2 = 24016) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48032 ÷ 4 = 12008) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (48032 ÷ 8 = 6004) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48032 a prime number?
No. 48032 = × 19 × 79, so it is divisible by 2.
What are the factors of 48032?
1, 2, 4, 8, 16, 19, 32, 38, 76, 79, 152, 158, 304, 316, 608, 632, 1264, 1501, 2528, 3002, 6004, 12008, 24016, 48032.
What is 48032 in binary?
1011101110100000 (hexadecimal BBA0, octal 135640).
What is the square root of 48032?
About 219.1620, exactly 4√3002.
Is 48032 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48032?
It is a composite number with 24 divisors.