The number 98429
98429 is the 9452nd prime number. Its only divisors are 1 and 98429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98429: the 9452nd prime number.
- 2
98429 is prime, so its only factors are 1 and 98429. It is the 9452nd prime; the next prime is 98443 and the one before is 98419.
- 3
The divisors add up to 98430; without 98429 itself that is 1, so 98429 is deficient (1 is less than 98429). Euler's totient φ(98429) = 98428 numbers up to 98429 share no factor with it.
- 4
The digits of 98429 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.
98429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98430 |
| Euler totient φ(n) | 98428 |
| Square | 9688268041 |
| Cube | 953606535007589 |
| Square root | 313.733964 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.8429 × |
98429 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand four hundred and twenty-nine |
| Binary (base 2) | 11000000001111101 |
| Octal (base 8) | 300175 |
| Hexadecimal (base 16) | 1807D |
| Base 3 | 12000000112 |
| As time | 98429 seconds = 27 h 20 min 29 s |
Is 98429 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 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 5) | 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 98429 a prime number?
Yes. 98429 is divisible only by 1 and itself.
What are the factors of 98429?
1, 98429.
What is 98429 in binary?
11000000001111101 (hexadecimal 1807D, octal 300175).
What is the square root of 98429?
About 313.7340.
Is 98429 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 98429?
98429 is the 9452nd prime number.