The number 32674
32674 is a composite number with 12 divisors. Its prime factorisation is 2 × 17 × . Divisors (12): 1, 2, 17, 31, 34, 62, 527, 961, 1054, 1922, 16337, 32674.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32674 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32674 is composite. Its prime factorisation is
- 3
The divisors add up to 53622; without 32674 itself that is 20948, so 32674 is deficient (20948 is less than 32674). Euler's totient φ(32674) = 14880 numbers up to 32674 share no factor with it.
- 4
The digits of 32674 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32674 = 2 \times 17 \times 31^{2} \]32674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53622 |
| Euler totient φ(n) | 14880 |
| Square | 1067590276 |
| Cube | 34882444678024 |
| Square root | 180.759509 (= 31√34) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2674 × |
32674 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand six hundred and seventy-four |
| Binary (base 2) | 111111110100010 |
| Octal (base 8) | 77642 |
| Hexadecimal (base 16) | 7FA2 |
| Base 3 | 1122211011 |
| As time | 32674 seconds = 9 h 4 min 34 s |
Is 32674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32674 ÷ 2 = 16337) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 4) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32674 a prime number?
No. 32674 = 2 × 17 × , so it is divisible by 2.
What are the factors of 32674?
1, 2, 17, 31, 34, 62, 527, 961, 1054, 1922, 16337, 32674.
What is 32674 in binary?
111111110100010 (hexadecimal 7FA2, octal 77642).
What is the square root of 32674?
About 180.7595, exactly 31√34.
Is 32674 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 32674?
It is a composite number with 12 divisors.