The number 32264
32264 is a composite number with 16 divisors. Its prime factorisation is × 37 × 109. Divisors (16): 1, 2, 4, 8, 37, 74, 109, 148, 218, 296, 436, 872, 4033, 8066, 16132, 32264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32264 is composite. Its prime factorisation is
- 3
The divisors add up to 62700; without 32264 itself that is 30436, so 32264 is deficient (30436 is less than 32264). Euler's totient φ(32264) = 15552 numbers up to 32264 share no factor with it.
- 4
The digits of 32264 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32264 = 2^{3} \times 37 \times 109 \]32264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62700 |
| Euler totient φ(n) | 15552 |
| Square | 1040965696 |
| Cube | 33585717215744 |
| Square root | 179.621825 (= 2√8066) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.2264 × |
32264 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and sixty-four |
| Binary (base 2) | 111111000001000 |
| Octal (base 8) | 77010 |
| Hexadecimal (base 16) | 7E08 |
| Base 3 | 1122020222 |
| As time | 32264 seconds = 8 h 57 min 44 s |
Is 32264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32264 ÷ 2 = 16132) | 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 (32264 ÷ 4 = 8066) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (32264 ÷ 8 = 4033) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 32264 a prime number?
No. 32264 = × 37 × 109, so it is divisible by 2.
What are the factors of 32264?
1, 2, 4, 8, 37, 74, 109, 148, 218, 296, 436, 872, 4033, 8066, 16132, 32264.
What is 32264 in binary?
111111000001000 (hexadecimal 7E08, octal 77010).
What is the square root of 32264?
About 179.6218, exactly 2√8066.
Is 32264 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 32264?
It is a composite number with 16 divisors.