The number 28429
28429 is the 3093rd prime number. Its only divisors are 1 and 28429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28429: the 3093rd prime number.
- 2
28429 is prime, so its only factors are 1 and 28429. It is the 3093rd prime; the next prime is 28433 and the one before is 28411.
- 3
The divisors add up to 28430; without 28429 itself that is 1, so 28429 is deficient (1 is less than 28429). Euler's totient φ(28429) = 28428 numbers up to 28429 share no factor with it.
- 4
The digits of 28429 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 59 steps to reach 1.
28429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 28430 |
| Euler totient φ(n) | 28428 |
| Square | 808208041 |
| Cube | 22976546397589 |
| Square root | 168.609015 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8429 × |
28429 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand four hundred and twenty-nine |
| Binary (base 2) | 110111100001101 |
| Octal (base 8) | 67415 |
| Hexadecimal (base 16) | 6F0D |
| Base 3 | 1102222221 |
| As time | 28429 seconds = 7 h 53 min 49 s |
Is 28429 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 2) | 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 5) | 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 28429 a prime number?
Yes. 28429 is divisible only by 1 and itself.
What are the factors of 28429?
1, 28429.
What is 28429 in binary?
110111100001101 (hexadecimal 6F0D, octal 67415).
What is the square root of 28429?
About 168.6090.
Is 28429 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 28429?
28429 is the 3093rd prime number.