The number 32029
32029 is a twin prime (32027 and 32029 are both prime) and the 3436th prime number. Its only divisors are 1 and 32029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32029: a twin prime (32027 and 32029 are both prime); the 3436th prime number.
- 2
32029 is prime, so its only factors are 1 and 32029. It is the 3436th prime; the next prime is 32051 and the one before is 32027.
- 3
The divisors add up to 32030; without 32029 itself that is 1, so 32029 is deficient (1 is less than 32029). Euler's totient φ(32029) = 32028 numbers up to 32029 share no factor with it.
- 4
The digits of 32029 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
32029 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32030 |
| Euler totient φ(n) | 32028 |
| Square | 1025856841 |
| Cube | 32857168760389 |
| Square root | 178.966477 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2029 × |
32029 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and twenty-nine |
| Binary (base 2) | 111110100011101 |
| Octal (base 8) | 76435 |
| Hexadecimal (base 16) | 7D1D |
| Base 3 | 1121221021 |
| As time | 32029 seconds = 8 h 53 min 49 s |
Is 32029 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 4) | 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 8) | 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 32029 a prime number?
Yes. 32029 is divisible only by 1 and itself.
What are the factors of 32029?
1, 32029.
What is 32029 in binary?
111110100011101 (hexadecimal 7D1D, octal 76435).
What is the square root of 32029?
About 178.9665.
Is 32029 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 32029?
32029 is a twin prime (32027 and 32029 are both prime); the 3436th prime number.