The number 32739
32739 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1559. Divisors (8): 1, 3, 7, 21, 1559, 4677, 10913, 32739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32739 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32739 is composite. Its prime factorisation is
- 3
The divisors add up to 49920; without 32739 itself that is 17181, so 32739 is deficient (17181 is less than 32739). Euler's totient φ(32739) = 18696 numbers up to 32739 share no factor with it.
- 4
The digits of 32739 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32739 = 3 \times 7 \times 1559 \]
32739 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 49920 |
| Euler totient φ(n) | 18696 |
| Square | 1071842121 |
| Cube | 35091039199419 |
| Square root | 180.939216 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2739 × |
32739 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and thirty-nine |
| Binary (base 2) | 111111111100011 |
| Octal (base 8) | 77743 |
| Hexadecimal (base 16) | 7FE3 |
| Base 3 | 1122220120 |
| As time | 32739 seconds = 9 h 5 min 39 s |
Is 32739 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 (32739 ÷ 3 = 10913) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | Yes (32739 ÷ 7 = 4677) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32739 a prime number?
No. 32739 = 3 × 7 × 1559, so it is divisible by 3.
What are the factors of 32739?
1, 3, 7, 21, 1559, 4677, 10913, 32739.
What is 32739 in binary?
111111111100011 (hexadecimal 7FE3, octal 77743).
What is the square root of 32739?
About 180.9392.
Is 32739 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 32739?
It is a composite number with 8 divisors.