The number 97429
97429 is the 9370th prime number. Its only divisors are 1 and 97429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97429: the 9370th prime number.
- 2
97429 is prime, so its only factors are 1 and 97429. It is the 9370th prime; the next prime is 97441 and the one before is 97423.
- 3
The divisors add up to 97430; without 97429 itself that is 1, so 97429 is deficient (1 is less than 97429). Euler's totient φ(97429) = 97428 numbers up to 97429 share no factor with it.
- 4
The digits of 97429 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
97429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97430 |
| Euler totient φ(n) | 97428 |
| Square | 9492410041 |
| Cube | 924836017884589 |
| Square root | 312.136188 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7429 × |
97429 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and twenty-nine |
| Binary (base 2) | 10111110010010101 |
| Octal (base 8) | 276225 |
| Hexadecimal (base 16) | 17C95 |
| Base 3 | 11221122111 |
| As time | 97429 seconds = 27 h 3 min 49 s |
Is 97429 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 4) | 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 97429 a prime number?
Yes. 97429 is divisible only by 1 and itself.
What are the factors of 97429?
1, 97429.
What is 97429 in binary?
10111110010010101 (hexadecimal 17C95, octal 276225).
What is the square root of 97429?
About 312.1362.
Is 97429 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97429?
97429 is the 9370th prime number.