The number 32744
32744 is a composite number with 8 divisors. Its prime factorisation is × 4093. Divisors (8): 1, 2, 4, 8, 4093, 8186, 16372, 32744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32744: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32744 is composite. Its prime factorisation is
- 3
The divisors add up to 61410; without 32744 itself that is 28666, so 32744 is deficient (28666 is less than 32744). Euler's totient φ(32744) = 16368 numbers up to 32744 share no factor with it.
- 4
The digits of 32744 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32744 = 2^{3} \times 4093 \]32744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61410 |
| Euler totient φ(n) | 16368 |
| Square | 1072169536 |
| Cube | 35107119286784 |
| Square root | 180.953033 (= 2√8186) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2744 × |
32744 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and forty-four |
| Binary (base 2) | 111111111101000 |
| Octal (base 8) | 77750 |
| Hexadecimal (base 16) | 7FE8 |
| Base 3 | 1122220202 |
| As time | 32744 seconds = 9 h 5 min 44 s |
Is 32744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32744 ÷ 2 = 16372) | 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 (32744 ÷ 4 = 8186) | 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 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 | Yes (32744 ÷ 8 = 4093) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 32744 a prime number?
No. 32744 = × 4093, so it is divisible by 2.
What are the factors of 32744?
1, 2, 4, 8, 4093, 8186, 16372, 32744.
What is 32744 in binary?
111111111101000 (hexadecimal 7FE8, octal 77750).
What is the square root of 32744?
About 180.9530, exactly 2√8186.
Is 32744 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32744?
32744 is a happy number: repeatedly adding the squares of its digits reaches 1.