The number 32049
32049 is a composite number with 8 divisors. Its prime factorisation is × 1187. Divisors (8): 1, 3, 9, 27, 1187, 3561, 10683, 32049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32049 is composite. Its prime factorisation is
- 3
The divisors add up to 47520; without 32049 itself that is 15471, so 32049 is deficient (15471 is less than 32049). Euler's totient φ(32049) = 21348 numbers up to 32049 share no factor with it.
- 4
The digits of 32049 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32049 = 3^{3} \times 1187 \]32049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47520 |
| Euler totient φ(n) | 21348 |
| Square | 1027138401 |
| Cube | 32918758613649 |
| Square root | 179.022345 (= 3√3561) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2049 × |
32049 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and forty-nine |
| Binary (base 2) | 111110100110001 |
| Octal (base 8) | 76461 |
| Hexadecimal (base 16) | 7D31 |
| Base 3 | 1121222000 |
| As time | 32049 seconds = 8 h 54 min 9 s |
Is 32049 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32049 ÷ 3 = 10683) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32049 ÷ 9 = 3561) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32049 a prime number?
No. 32049 = × 1187, so it is divisible by 3.
What are the factors of 32049?
1, 3, 9, 27, 1187, 3561, 10683, 32049.
What is 32049 in binary?
111110100110001 (hexadecimal 7D31, octal 76461).
What is the square root of 32049?
About 179.0223, exactly 3√3561.
Is 32049 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32049?
It is a composite number with 8 divisors.