The number 88427
88427 is the 8572nd prime number. Its only divisors are 1 and 88427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88427: the 8572nd prime number.
- 2
88427 is prime, so its only factors are 1 and 88427. It is the 8572nd prime; the next prime is 88463 and the one before is 88423.
- 3
The divisors add up to 88428; without 88427 itself that is 1, so 88427 is deficient (1 is less than 88427). Euler's totient φ(88427) = 88426 numbers up to 88427 share no factor with it.
- 4
The digits of 88427 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
88427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 88428 |
| Euler totient φ(n) | 88426 |
| Square | 7819334329 |
| Cube | 691440276710483 |
| Square root | 297.366777 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.8427 × |
88427 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred and twenty-seven |
| Binary (base 2) | 10101100101101011 |
| Octal (base 8) | 254553 |
| Hexadecimal (base 16) | 1596B |
| Base 3 | 11111022002 |
| As time | 88427 seconds = 24 h 33 min 47 s |
Is 88427 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88427 a prime number?
Yes. 88427 is divisible only by 1 and itself.
What are the factors of 88427?
1, 88427.
What is 88427 in binary?
10101100101101011 (hexadecimal 1596B, octal 254553).
What is the square root of 88427?
About 297.3668.
Is 88427 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 88427?
88427 is the 8572nd prime number.