The number 32672
32672 is a composite number with 12 divisors. Its prime factorisation is × 1021. Divisors (12): 1, 2, 4, 8, 16, 32, 1021, 2042, 4084, 8168, 16336, 32672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32672 is composite. Its prime factorisation is
- 3
The divisors add up to 64386; without 32672 itself that is 31714, so 32672 is deficient (31714 is less than 32672). Euler's totient φ(32672) = 16320 numbers up to 32672 share no factor with it.
- 4
The digits of 32672 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32672 = 2^{5} \times 1021 \]32672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64386 |
| Euler totient φ(n) | 16320 |
| Square | 1067459584 |
| Cube | 34876039528448 |
| Square root | 180.753976 (= 4√2042) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.2672 × |
32672 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand six hundred and seventy-two |
| Binary (base 2) | 111111110100000 |
| Octal (base 8) | 77640 |
| Hexadecimal (base 16) | 7FA0 |
| Base 3 | 1122211002 |
| As time | 32672 seconds = 9 h 4 min 32 s |
Is 32672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32672 ÷ 2 = 16336) | 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 (32672 ÷ 4 = 8168) | 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 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 | Yes (32672 ÷ 8 = 4084) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | 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 32672 a prime number?
No. 32672 = × 1021, so it is divisible by 2.
What are the factors of 32672?
1, 2, 4, 8, 16, 32, 1021, 2042, 4084, 8168, 16336, 32672.
What is 32672 in binary?
111111110100000 (hexadecimal 7FA0, octal 77640).
What is the square root of 32672?
About 180.7540, exactly 4√2042.
Is 32672 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32672?
It is a composite number with 12 divisors.