The number 32749
32749 is the 3512th prime number. Its only divisors are 1 and 32749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32749: the 3512th prime number.
- 2
32749 is prime, so its only factors are 1 and 32749. It is the 3512th prime; the next prime is 32771 and the one before is 32719.
- 3
The divisors add up to 32750; without 32749 itself that is 1, so 32749 is deficient (1 is less than 32749). Euler's totient φ(32749) = 32748 numbers up to 32749 share no factor with it.
- 4
The digits of 32749 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
32749 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32750 |
| Euler totient φ(n) | 32748 |
| Square | 1072497001 |
| Cube | 35123204285749 |
| Square root | 180.966848 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.2749 × |
32749 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and forty-nine |
| Binary (base 2) | 111111111101101 |
| Octal (base 8) | 77755 |
| Hexadecimal (base 16) | 7FED |
| Base 3 | 1122220221 |
| As time | 32749 seconds = 9 h 5 min 49 s |
Is 32749 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32749 a prime number?
Yes. 32749 is divisible only by 1 and itself.
What are the factors of 32749?
1, 32749.
What is 32749 in binary?
111111111101101 (hexadecimal 7FED, octal 77755).
What is the square root of 32749?
About 180.9668.
Is 32749 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 32749?
32749 is the 3512th prime number.