The number 32429
32429 is the 3481st prime number. Its only divisors are 1 and 32429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32429: the 3481st prime number.
- 2
32429 is prime, so its only factors are 1 and 32429. It is the 3481st prime; the next prime is 32441 and the one before is 32423.
- 3
The divisors add up to 32430; without 32429 itself that is 1, so 32429 is deficient (1 is less than 32429). Euler's totient φ(32429) = 32428 numbers up to 32429 share no factor with it.
- 4
The digits of 32429 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.
32429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32430 |
| Euler totient φ(n) | 32428 |
| Square | 1051640041 |
| Cube | 34103634889589 |
| Square root | 180.080538 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2429 × |
32429 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and twenty-nine |
| Binary (base 2) | 111111010101101 |
| Octal (base 8) | 77255 |
| Hexadecimal (base 16) | 7EAD |
| Base 3 | 1122111002 |
| As time | 32429 seconds = 9 h 0 min 29 s |
Is 32429 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 2) | 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 5) | 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 | No (remainder 5) | 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32429 a prime number?
Yes. 32429 is divisible only by 1 and itself.
What are the factors of 32429?
1, 32429.
What is 32429 in binary?
111111010101101 (hexadecimal 7EAD, octal 77255).
What is the square root of 32429?
About 180.0805.
Is 32429 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32429?
32429 is the 3481st prime number.