The number 32048
32048 is a composite number with 10 divisors. Its prime factorisation is × 2003. Divisors (10): 1, 2, 4, 8, 16, 2003, 4006, 8012, 16024, 32048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32048 is composite. Its prime factorisation is
- 3
The divisors add up to 62124; without 32048 itself that is 30076, so 32048 is deficient (30076 is less than 32048). Euler's totient φ(32048) = 16016 numbers up to 32048 share no factor with it.
- 4
The digits of 32048 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32048 = 2^{4} \times 2003 \]32048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 62124 |
| Euler totient φ(n) | 16016 |
| Square | 1027074304 |
| Cube | 32915677294592 |
| Square root | 179.019552 (= 4√2003) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.2048 × |
32048 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and forty-eight |
| Binary (base 2) | 111110100110000 |
| Octal (base 8) | 76460 |
| Hexadecimal (base 16) | 7D30 |
| Base 3 | 1121221222 |
| As time | 32048 seconds = 8 h 54 min 8 s |
Is 32048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32048 ÷ 2 = 16024) | 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 (32048 ÷ 4 = 8012) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (32048 ÷ 8 = 4006) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 32048 a prime number?
No. 32048 = × 2003, so it is divisible by 2.
What are the factors of 32048?
1, 2, 4, 8, 16, 2003, 4006, 8012, 16024, 32048.
What is 32048 in binary?
111110100110000 (hexadecimal 7D30, octal 76460).
What is the square root of 32048?
About 179.0196, exactly 4√2003.
Is 32048 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 32048?
It is a composite number with 10 divisors.