The number 85429
85429 is a twin prime (85427 and 85429 are both prime) and the 8315th prime number. Its only divisors are 1 and 85429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 85429: a twin prime (85427 and 85429 are both prime); the 8315th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
85429 is prime, so its only factors are 1 and 85429. It is the 8315th prime; the next prime is 85439 and the one before is 85427.
- 3
The divisors add up to 85430; without 85429 itself that is 1, so 85429 is deficient (1 is less than 85429). Euler's totient φ(85429) = 85428 numbers up to 85429 share no factor with it.
- 4
The digits of 85429 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
85429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 85430 |
| Euler totient φ(n) | 85428 |
| Square | 7298114041 |
| Cube | 623470584408589 |
| Square root | 292.282398 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 8.5429 × |
85429 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand four hundred and twenty-nine |
| Binary (base 2) | 10100110110110101 |
| Octal (base 8) | 246665 |
| Hexadecimal (base 16) | 14DB5 |
| Base 3 | 11100012001 |
| As time | 85429 seconds = 23 h 43 min 49 s |
Is 85429 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 1) | 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 1) | 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 3) | 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 85429 a prime number?
Yes. 85429 is divisible only by 1 and itself.
What are the factors of 85429?
1, 85429.
What is 85429 in binary?
10100110110110101 (hexadecimal 14DB5, octal 246665).
What is the square root of 85429?
About 292.2824.
Is 85429 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 85429?
85429 is a twin prime (85427 and 85429 are both prime); the 8315th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.